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112112202002112 = 2633134990749733
BaseRepresentation
bin11001011111011100100111…
…111110011010111011000000
3112200221211012010020220111000
4121133130213332122323000
5104143321242203031422
61034235345023052000
732420560610353404
oct3137344776327300
9480854163226430
10112112202002112
11327a45772a8944
12106a8119741000
134a7319b2b5450
141d9838c213104
15ce6467c9ccac
hex65f727f9aec0

112112202002112 has 112 divisors (see below), whose sum is σ = 354942121082080. Its totient is φ = 34496062147584.

The previous prime is 112112202002083. The next prime is 112112202002309. The reversal of 112112202002112 is 211200202211211.

112112202002112 is a `hidden beast` number, since 1 + 1 + 211 + 220 + 20 + 0 + 211 + 2 = 666.

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

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, 2495352403 + ... + 2495397330.

It is an arithmetic number, because the mean of its divisors is an integer number (3169126081090).

Almost surely, 2112112202002112 is an apocalyptic number.

112112202002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112112202002112 is an abundant number, since it is smaller than the sum of its proper divisors (242829919079968).

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

112112202002112 is a wasteful number, since it uses less digits than its factorization.

112112202002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990749767 (or 4990749751 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112112202002112 its reverse (211200202211211), we get a palindrome (323312404213323).

The spelling of 112112202002112 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 4990749733 9981499466 14972249199 19962998932 29944498398 39925997864 44916747597 59888996796 64879746529 79851995728 89833495194 119777993592 129759493058 134750242791 159703991456 179666990388 194639239587 239555987184 259518986116 269500485582 319407982912 359333980776 389278479174 479111974368 519037972232 539000971164 583917718761 718667961552 778556958348 958223948736 1038075944464 1078001942328 1167835437522 1437335923104 1557113916696 1751753156283 2076151888928 2156003884656 2335670875044 2874671846208 3114227833392 3503506312566 4152303777856 4312007769312 4671341750088 6228455666784 7007012625132 8624015538624 9342683500176 12456911333568 14014025250264 18685367000352 28028050500528 37370734000704 56056101001056 112112202002112