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112688084322 = 23211271932
BaseRepresentation
bin110100011110010111…
…0111011010101100010
3101202212102111210211200
41220330232323111202
53321241122144242
6123433532422030
711066341624662
oct1507456732542
9352772453750
10112688084322
1143877538700
1219a0b017916
13a81b3a0b48
1456501d41a2
152de80c704c
hex1a3cbbb562

112688084322 has 54 divisors (see below), whose sum is σ = 268408799841. Its totient is φ = 34143156960.

The previous prime is 112688084287. The next prime is 112688084357. The reversal of 112688084322 is 223480886211.

112688084322 is a `hidden beast` number, since 112 + 68 + 80 + 84 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (112688084287) and next prime (112688084357).

It can be written as a sum of positive squares in 2 ways, for example, as 83433744801 + 29254339521 = 288849^2 + 171039^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=237369.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15662758 + ... + 15669950.

Almost surely, 2112688084322 is an apocalyptic number.

112688084322 is an abundant number, since it is smaller than the sum of its proper divisors (155720715519).

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

112688084322 is an frugal number, since it uses more digits than its factorization.

112688084322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 112688084322 in words is "one hundred twelve billion, six hundred eighty-eight million, eighty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 7193 14386 21579 43158 64737 79123 129474 158246 237369 474738 712107 870353 1424214 1740706 2611059 5222118 7833177 15666354 51739249 103478498 155217747 310435494 465653241 569131739 931306482 1138263478 1707395217 3414790434 5122185651 6260449129 10244371302 12520898258 18781347387 37562694774 56344042161 112688084322