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101232912 = 243111910091
BaseRepresentation
bin1100000100010…
…11000100010000
321001111011110010
412002023010100
5201403423122
614013434520
72336315454
oct602130420
9231434403
10101232912
1152163870
1229a9ba40
1317c85a41
14d632664
158d49e0c
hex608b110

101232912 has 80 divisors (see below), whose sum is σ = 300337920. Its totient is φ = 29059200.

The previous prime is 101232899. The next prime is 101232917. The reversal of 101232912 is 219232101.

It is not an unprimeable number, because it can be changed into a prime (101232917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4987 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (3754224).

Almost surely, 2101232912 is an apocalyptic number.

101232912 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 101232912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150168960).

101232912 is an abundant number, since it is smaller than the sum of its proper divisors (199105008).

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

101232912 is a wasteful number, since it uses less digits than its factorization.

101232912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 101232912 is about 10061.4567533732. The cubic root of 101232912 is about 466.0586539788.

The spelling of 101232912 in words is "one hundred one million, two hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 10091 20182 30273 40364 60546 80728 111001 121092 161456 191729 222002 242184 333003 383458 444004 484368 575187 666006 766916 888008 1150374 1332012 1533832 1776016 2109019 2300748 2664024 3067664 4218038 4601496 5328048 6327057 8436076 9202992 12654114 16872152 25308228 33744304 50616456 101232912