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112965782140 = 22535316000819
BaseRepresentation
bin110100100110101001…
…0010000101001111100
3101210120210001022122001
41221031102100221330
53322323220012030
6123521252432044
711106253206421
oct1511522205174
9353523038561
10112965782140
11439aa26a132
1219a88018624
13a863a90693
14567903dd48
152e1267ccca
hex1a4d490a7c

112965782140 has 24 divisors (see below), whose sum is σ = 237900191760. Its totient is φ = 45058303488.

The previous prime is 112965782117. The next prime is 112965782141. The reversal of 112965782140 is 41287569211.

It is a super-2 number, since 2×1129657821402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112965782141) 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, 7993350 + ... + 8007469.

It is an arithmetic number, because the mean of its divisors is an integer number (9912507990).

Almost surely, 2112965782140 is an apocalyptic number.

112965782140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112965782140 is an abundant number, since it is smaller than the sum of its proper divisors (124934409620).

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

112965782140 is a wasteful number, since it uses less digits than its factorization.

112965782140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16001181 (or 16001179 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 112965782140 in words is "one hundred twelve billion, nine hundred sixty-five million, seven hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 16000819 32001638 64003276 80004095 160008190 320016380 5648289107 11296578214 22593156428 28241445535 56482891070 112965782140