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112540782312 = 23327223295203
BaseRepresentation
bin110100011001111110…
…1000000111011101000
3101202111011100002110200
41220303331000323220
53320440420013222
6123411151312200
711062602603030
oct1506375007350
9352434302420
10112540782312
1143801379502
121998981b660
13a7c6a07caa
14563880c8c0
152dda1cbeac
hex1a33f40ee8

112540782312 has 48 divisors (see below), whose sum is σ = 348340518240. Its totient is φ = 32154509088.

The previous prime is 112540782283. The next prime is 112540782317. The reversal of 112540782312 is 213287045211.

112540782312 is a `hidden beast` number, since 1 + 1 + 2 + 540 + 7 + 82 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112540782317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111647098 + ... + 111648105.

It is an arithmetic number, because the mean of its divisors is an integer number (7257094130).

Almost surely, 2112540782312 is an apocalyptic number.

112540782312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112540782312 is an abundant number, since it is smaller than the sum of its proper divisors (235799735928).

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

112540782312 is a wasteful number, since it uses less digits than its factorization.

112540782312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223295222 (or 223295215 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 112540782312 in words is "one hundred twelve billion, five hundred forty million, seven hundred eighty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 223295203 446590406 669885609 893180812 1339771218 1563066421 1786361624 2009656827 2679542436 3126132842 4019313654 4689199263 5359084872 6252265684 8038627308 9378398526 12504531368 14067597789 16077254616 18756797052 28135195578 37513594104 56270391156 112540782312