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210112011102112 = 25743136491598209
BaseRepresentation
bin101111110001100010000011…
…110010001110011110100000
31000112221111211022111212020021
4233301202003302032132200
5210014433344320231422
62022512043025123224
762154043335434050
oct5761420362163640
91015844738455207
10210112011102112
1160a48004727239
121b695147489514
139031629477a42
1439c5693081560
151945767931dc7
hexbf1883c8e7a0

210112011102112 has 96 divisors (see below), whose sum is σ = 483782002704000. Its totient is φ = 87947366105088.

The previous prime is 210112011102107. The next prime is 210112011102199. The reversal of 210112011102112 is 211201110211012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130668064 + ... + 132266272.

It is an arithmetic number, because the mean of its divisors is an integer number (5039395861500).

Almost surely, 2210112011102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210112011102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241891001352000).

210112011102112 is an abundant number, since it is smaller than the sum of its proper divisors (273669991601888).

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

210112011102112 is a wasteful number, since it uses less digits than its factorization.

210112011102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611918 (or 1611910 counting only the distinct ones).

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

Adding to 210112011102112 its reverse (211201110211012), we get a palindrome (421313121313124).

The spelling of 210112011102112 in words is "two hundred ten trillion, one hundred twelve billion, eleven million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 13649 27298 54596 95543 109192 191086 218384 382172 436768 586907 764344 1173814 1528688 1598209 2347628 3057376 3196418 4108349 4695256 6392836 8216698 9390512 11187463 12785672 16433396 18781024 22374926 25571344 32866792 44749852 51142688 65733584 68722987 89499704 131467168 137445974 178999408 274891948 357998816 481060909 549783896 962121818 1099567792 1924243636 2199135584 3848487272 7696974544 15393949088 21813954641 43627909282 87255818564 152697682487 174511637128 305395364974 349023274256 610790729948 698046548512 938000049563 1221581459896 1876000099126 2443162919792 3752000198252 4886325839584 6566000346941 7504000396504 13132000693882 15008000793008 26264001387764 30016001586016 52528002775528 105056005551056 210112011102112