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22431011113120 = 255271517320367
BaseRepresentation
bin1010001100110101000000…
…11100110000100010100000
32221102101100201202111102211
411012122200130300202200
510420002202321104440
6115412355251051504
74503405236364331
oct506324034604240
987371321674384
1022431011113120
117168a35aa8525
1226233442a0b94
13c69309b79acc
1457794971a288
1528d73700eeea
hex1466a07308a0

22431011113120 has 48 divisors (see below), whose sum is σ = 53188810956288. Its totient is φ = 8939295924480.

The previous prime is 22431011113117. The next prime is 22431011113169. The reversal of 22431011113120 is 2131111013422.

It is a super-2 number, since 2×224310111131202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22431011113091 and 22431011113100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258616824 + ... + 258703543.

It is an arithmetic number, because the mean of its divisors is an integer number (1108100228256).

Almost surely, 222431011113120 is an apocalyptic number.

22431011113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22431011113120 is an abundant number, since it is smaller than the sum of its proper divisors (30757799843168).

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

22431011113120 is a wasteful number, since it uses less digits than its factorization.

22431011113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517320653 (or 517320645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 22431011113120 its reverse (2131111013422), we get a palindrome (24562122126542).

The spelling of 22431011113120 in words is "twenty-two trillion, four hundred thirty-one billion, eleven million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 8672 10840 21680 43360 517320367 1034640734 2069281468 2586601835 4138562936 5173203670 8277125872 10346407340 16554251744 20692814680 41385629360 82771258720 140193819457 280387638914 560775277828 700969097285 1121550555656 1401938194570 2243101111312 2803876389140 4486202222624 5607752778280 11215505556560 22431011113120