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10132232112 = 2433110921149
BaseRepresentation
bin10010110111110110…
…11001011110110000
3222011010120201111000
421123323121132300
5131222322411422
64353224522000
7506041360212
oct113373313660
928133521430
1010132232112
11432a420a52
121b69320300
13c56207c22
146c19445b2
153e47cccac
hex25bed97b0

10132232112 has 80 divisors (see below), whose sum is σ = 29110860000. Its totient is φ = 3374205696.

The previous prime is 10132232093. The next prime is 10132232147. The reversal of 10132232112 is 21123223101.

10132232112 is a `hidden beast` number, since 10 + 1 + 322 + 321 + 12 = 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, 468514 + ... + 489662.

It is an arithmetic number, because the mean of its divisors is an integer number (363885750).

Almost surely, 210132232112 is an apocalyptic number.

10132232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555430000).

10132232112 is an abundant number, since it is smaller than the sum of its proper divisors (18978627888).

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

10132232112 is a wasteful number, since it uses less digits than its factorization.

10132232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22275 (or 22263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132232112 its reverse (21123223101), we get a palindrome (31255455213).

The spelling of 10132232112 in words is "ten billion, one hundred thirty-two million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1109 2218 3327 4436 6654 8872 9981 13308 17744 19962 21149 26616 29943 39924 42298 53232 59886 63447 79848 84596 119772 126894 159696 169192 190341 239544 253788 338384 380682 479088 507576 571023 761364 1015152 1142046 1522728 2284092 3045456 4568184 9136368 23454241 46908482 70362723 93816964 140725446 187633928 211088169 281450892 375267856 422176338 562901784 633264507 844352676 1125803568 1266529014 1688705352 2533058028 3377410704 5066116056 10132232112