Search a number
-
+
22110210011120 = 24571114932404099
BaseRepresentation
bin1010000011011111011110…
…01101101010111111110000
32220021201022112220000002112
411001233233031222333300
510344223202230323440
6115005142410104452
74441260421121510
oct501575715527760
986251275800075
1022110210011120
117054984159440
12259113471b128
13c44ca36c5c2a
145661d5b5b840
1528520d5e1965
hex141bef36aff0

22110210011120 has 160 divisors (see below), whose sum is σ = 64133848742400. Its totient is φ = 6886875294720.

The previous prime is 22110210011111. The next prime is 22110210011129. The reversal of 22110210011120 is 2111001201122.

It is an interprime number because it is at equal distance from previous prime (22110210011111) and next prime (22110210011129).

It is a super-2 number, since 2×221102100111202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22110210011095 and 22110210011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110210011129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7994831 + ... + 10398929.

It is an arithmetic number, because the mean of its divisors is an integer number (400836554640).

Almost surely, 222110210011120 is an apocalyptic number.

22110210011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110210011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32066924371200).

22110210011120 is an abundant number, since it is smaller than the sum of its proper divisors (42023638731280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22110210011120 is a wasteful number, since it uses less digits than its factorization.

22110210011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405623 (or 2405617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22110210011120 its reverse (2111001201122), we get a palindrome (24221211212242).

The spelling of 22110210011120 in words is "twenty-two trillion, one hundred ten billion, two hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1493 1540 2986 3080 5972 6160 7465 10451 11944 14930 16423 20902 23888 29860 32846 41804 52255 59720 65692 82115 83608 104510 114961 119440 131384 164230 167216 209020 229922 262768 328460 418040 459844 574805 656920 836080 919688 1149610 1313840 1839376 2299220 2404099 4598440 4808198 9196880 9616396 12020495 16828693 19232792 24040990 26445089 33657386 38465584 48081980 52890178 67314772 84143465 96163960 105780356 132225445 134629544 168286930 185115623 192327920 211560712 264450890 269259088 336573860 370231246 423121424 528901780 673147720 740462492 925578115 1057803560 1346295440 1480924984 1851156230 2115607120 2961849968 3589319807 3702312460 7178639614 7404624920 14357279228 14809249840 17946599035 25125238649 28714558456 35893198070 39482517877 50250477298 57429116912 71786396140 78965035754 100500954596 125626193245 143572792280 157930071508 197412589385 201001909192 251252386490 276377625139 287145584560 315860143016 394825178770 402003818384 502504772980 552755250278 631720286032 789650357540 1005009545960 1105510500556 1381888125695 1579300715080 2010019091920 2211021001112 2763776251390 3158601430160 4422042002224 5527552502780 11055105005560 22110210011120