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112540157052 = 223103167709769
BaseRepresentation
bin110100011001111101…
…0101000010001111100
3101202111010011022202220
41220303322220101330
53320440240011202
6123411130045340
711062564360101
oct1506372502174
9352433138686
10112540157052
1143800a91764
1219989579850
13a7c684950b
1456386c8aa8
152dda106abc
hex1a33ea847c

112540157052 has 96 divisors (see below), whose sum is σ = 267454387200. Its totient is φ = 36826693632.

The previous prime is 112540157011. The next prime is 112540157053. The reversal of 112540157052 is 250751045211.

112540157052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112540157053) 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 31 ways as a sum of consecutive naturals, for example, 146345724 + ... + 146346492.

It is an arithmetic number, because the mean of its divisors is an integer number (2785983200).

Almost surely, 2112540157052 is an apocalyptic number.

112540157052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112540157052 is an abundant number, since it is smaller than the sum of its proper divisors (154914230148).

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

112540157052 is a wasteful number, since it uses less digits than its factorization.

112540157052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The spelling of 112540157052 in words is "one hundred twelve billion, five hundred forty million, one hundred fifty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 12 103 167 206 309 334 412 501 618 668 709 769 1002 1236 1418 1538 2004 2127 2307 2836 3076 4254 4614 8508 9228 17201 34402 51603 68804 73027 79207 103206 118403 128423 146054 158414 206412 219081 236806 237621 256846 292108 316828 355209 385269 438162 473612 475242 513692 545221 710418 770538 876324 950484 1090442 1420836 1541076 1635663 2180884 3271326 6542652 12195509 13227569 24391018 26455138 36586527 39682707 48782036 52910276 56157763 73173054 79365414 91051907 112315526 146346108 158730828 168473289 182103814 224631052 273155721 336946578 364207628 546311442 673893156 1092622884 9378346421 18756692842 28135039263 37513385684 56270078526 112540157052