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111331012320 = 25325117028473
BaseRepresentation
bin110011110101111011…
…0000110111011100000
3101122100211221102000200
41213223312012323200
53311001214343240
6123051133545200
711020612663563
oct1475366067340
9348324842020
10111331012320
11432404aa3a0
12196b0645200
13a6631a2868
145561c984da
152d68db1930
hex19ebd86ee0

111331012320 has 144 divisors (see below), whose sum is σ = 414455054832. Its totient is φ = 26989332480.

The previous prime is 111331012307. The next prime is 111331012363. The reversal of 111331012320 is 23210133111.

111331012320 is a `hidden beast` number, since 1 + 1 + 1 + 331 + 0 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111331012293 and 111331012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3498397 + ... + 3530076.

It is an arithmetic number, because the mean of its divisors is an integer number (2878160103).

Almost surely, 2111331012320 is an apocalyptic number.

111331012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111331012320 is an abundant number, since it is smaller than the sum of its proper divisors (303124042512).

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

111331012320 is a wasteful number, since it uses less digits than its factorization.

111331012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028505 (or 7028494 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111331012320 its reverse (23210133111), we get a palindrome (134541145431).

The spelling of 111331012320 in words is "one hundred eleven billion, three hundred thirty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 7028473 14056946 21085419 28113892 35142365 42170838 56227784 63256257 70284730 77313203 84341676 105427095 112455568 126512514 140569460 154626406 168683352 210854190 224911136 231939609 253025028 281138920 309252812 316281285 337366704 386566015 421708380 463879218 506050056 562277840 618505624 632562570 674733408 695818827 773132030 843416760 927758436 1012100112 1124555680 1159698045 1237011248 1265125140 1391637654 1546264060 1686833520 1855516872 2024200224 2319396090 2474022496 2530250280 2783275308 3092528120 3373667040 3479094135 3711033744 4638792180 5060500560 5566550616 6185056240 6958188270 7422067488 9277584360 10121001120 11133101232 12370112480 13916376540 18555168720 22266202464 27832753080 37110337440 55665506160 111331012320