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10032112332 = 22331129291191
BaseRepresentation
bin10010101011111010…
…11110001011001100
3221220011012002222000
421111331132023030
5131021210043312
64335250552300
7503414355624
oct112575361314
927804162860
1010032112332
114288958530
121b3b898690
13c3b551a58
146b2521884
153dab02adc
hex255f5e2cc

10032112332 has 96 divisors (see below), whose sum is σ = 29352153600. Its totient is φ = 2935195200.

The previous prime is 10032112297. The next prime is 10032112351. The reversal of 10032112332 is 23321123001.

10032112332 is a `hidden beast` number, since 1 + 0 + 0 + 321 + 12 + 332 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111144 + ... + 180047.

It is an arithmetic number, because the mean of its divisors is an integer number (305751600).

Almost surely, 210032112332 is an apocalyptic number.

10032112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032112332 is an abundant number, since it is smaller than the sum of its proper divisors (19320041268).

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

10032112332 is a wasteful number, since it uses less digits than its factorization.

10032112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291244 (or 291236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10032112332 its reverse (23321123001), we get a palindrome (33353235333).

The spelling of 10032112332 in words is "ten billion, thirty-two million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 8613 11484 17226 34452 291191 582382 873573 1164764 1747146 2620719 3203101 3494292 5241438 6406202 7862157 8444539 9609303 10482876 12812404 15724314 16889078 19218606 25333617 28827909 31448628 33778156 38437212 50667234 57655818 76000851 86483727 92889929 101334468 115311636 152001702 172967454 185779858 228002553 278669787 304003404 345934908 371559716 456005106 557339574 836009361 912010212 1114679148 1672018722 2508028083 3344037444 5016056166 10032112332