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112100112012 = 22373171602071
BaseRepresentation
bin110100001100110101…
…1111111011010001100
3101201100110010201110110
41220121223333122030
53314040112041022
6123255330240020
711045642142000
oct1503153773214
9351313121413
10112100112012
11435a5655379
1219886126010
13a756626a35
1455d609c700
152db168300c
hex1a19aff68c

112100112012 has 96 divisors (see below), whose sum is σ = 322977715200. Its totient is φ = 30144549120.

The previous prime is 112100111989. The next prime is 112100112037. The reversal of 112100112012 is 210211001211.

It is a super-2 number, since 2×1121001120122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 731064 + ... + 871007.

It is an arithmetic number, because the mean of its divisors is an integer number (3364351200).

Almost surely, 2112100112012 is an apocalyptic number.

112100112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112100112012 is an abundant number, since it is smaller than the sum of its proper divisors (210877603188).

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

112100112012 is a wasteful number, since it uses less digits than its factorization.

112100112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602116 (or 1602100 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112100112012 its reverse (210211001211), we get a palindrome (322311113223).

The spelling of 112100112012 in words is "one hundred twelve billion, one hundred million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1029 1372 1428 1666 2058 2499 3332 4116 4998 5831 9996 11662 17493 23324 34986 69972 1602071 3204142 4806213 6408284 9612426 11214497 19224852 22428994 27235207 33643491 44857988 54470414 67286982 78501479 81705621 108940828 134573964 157002958 163411242 190646449 235504437 314005916 326822484 381292898 471008874 549510353 571939347 762585796 942017748 1099020706 1143878694 1334525143 1648531059 2198041412 2287757388 2669050286 3297062118 4003575429 5338100572 6594124236 8007150858 9341676001 16014301716 18683352002 28025028003 37366704004 56050056006 112100112012