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112461132192 = 2531183199017
BaseRepresentation
bin110100010111100110…
…1001011000110100000
3101202021121110110001020
41220233031023012200
53320310022212232
6123355224205440
711060614564653
oct1505715130640
9352247413036
10112461132192
1143770417162
1219967009880
13a7b336ac46
14562bdd789a
152dd31e6e2c
hex1a2f34b1a0

112461132192 has 48 divisors (see below), whose sum is σ = 295238405952. Its totient is φ = 37483496960.

The previous prime is 112461132103. The next prime is 112461132193. The reversal of 112461132192 is 291231164211.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (112461132193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086268 + ... + 1185284.

It is an arithmetic number, because the mean of its divisors is an integer number (6150800124).

Almost surely, 2112461132192 is an apocalyptic number.

112461132192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112461132192 is an abundant number, since it is smaller than the sum of its proper divisors (182777273760).

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

112461132192 is a wasteful number, since it uses less digits than its factorization.

112461132192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110861 (or 110853 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The spelling of 112461132192 in words is "one hundred twelve billion, four hundred sixty-one million, one hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11831 23662 35493 47324 70986 94648 99017 141972 189296 198034 283944 297051 378592 396068 567888 594102 792136 1135776 1188204 1584272 2376408 3168544 4752816 9505632 1171470127 2342940254 3514410381 4685880508 7028820762 9371761016 14057641524 18743522032 28115283048 37487044064 56230566096 112461132192