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22110201120 = 253576580417
BaseRepresentation
bin10100100101110111…
…101110010100100000
32010001220020120222210
4110211313232110200
5330240202413440
614053550202120
71411624415520
oct244567562440
963056216883
1022110201120
1194166a5397
1243507b3340
132114927a57
1410da669680
1589614aa80
hex525dee520

22110201120 has 96 divisors (see below), whose sum is σ = 79596736128. Its totient is φ = 5053759488.

The previous prime is 22110201119. The next prime is 22110201131. The reversal of 22110201120 is 2110201122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22110201096 and 22110201105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286849 + ... + 3293568.

It is an arithmetic number, because the mean of its divisors is an integer number (829132668).

Almost surely, 222110201120 is an apocalyptic number.

22110201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110201120 is an abundant number, since it is smaller than the sum of its proper divisors (57486535008).

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

22110201120 is a wasteful number, since it uses less digits than its factorization.

22110201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580442 (or 6580434 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22110201120 its reverse (2110201122), we get a palindrome (24220402242).

The spelling of 22110201120 in words is "twenty-two billion, one hundred ten million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6580417 13160834 19741251 26321668 32902085 39482502 46062919 52643336 65804170 78965004 92125838 98706255 105286672 131608340 138188757 157930008 184251676 197412510 210573344 230314595 263216680 276377514 315860016 368503352 394825020 460629190 526433360 552755028 631720032 690943785 737006704 789650040 921258380 1052866720 1105510056 1381887570 1474013408 1579300080 1842516760 2211020112 2763775140 3158600160 3685033520 4422040224 5527550280 7370067040 11055100560 22110201120