Search a number
-
+
22011121201120 = 2551744318267097
BaseRepresentation
bin1010000000100110111010…
…00011110110111111100000
32212221020112212210220112121
411000103131003312333200
510341112234011413440
6114451434113034024
74431152050125562
oct500233503667740
985836485726477
1022011121201120
1170169560a8927
122575a9bb55914
13c388418ca28c
145614b5b2b332
1528285e39434a
hex1404dd0f6fe0

22011121201120 has 96 divisors (see below), whose sum is σ = 55184464647648. Its totient is φ = 8267833786368.

The previous prime is 22011121201117. The next prime is 22011121201159. The reversal of 22011121201120 is 2110212111022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22011121201094 and 22011121201103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7928589 + ... + 10338508.

It is an arithmetic number, because the mean of its divisors is an integer number (574838173413).

Almost surely, 222011121201120 is an apocalyptic number.

22011121201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011121201120 is an abundant number, since it is smaller than the sum of its proper divisors (33173343446528).

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

22011121201120 is a wasteful number, since it uses less digits than its factorization.

22011121201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18267572 (or 18267564 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22011121201120 its reverse (2110212111022), we get a palindrome (24121333312142).

The spelling of 22011121201120 in words is "twenty-two trillion, eleven billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 443 544 680 886 1360 1772 2215 2720 3544 4430 7088 7531 8860 14176 15062 17720 30124 35440 37655 60248 70880 75310 120496 150620 240992 301240 602480 1204960 18267097 36534194 73068388 91335485 146136776 182670970 292273552 310540649 365341940 584547104 621081298 730683880 1242162596 1461367760 1552703245 2484325192 2922735520 3105406490 4968650384 6210812980 8092323971 9937300768 12421625960 16184647942 24843251920 32369295884 40461619855 49686503840 64738591768 80923239710 129477183536 137569507507 161846479420 258954367072 275139015014 323692958840 550278030028 647385917680 687847537535 1100556060056 1294771835360 1375695075070 2201112120112 2751390150140 4402224240224 5502780300280 11005560600560 22011121201120