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113631665312 = 251134165071
BaseRepresentation
bin110100111010011111…
…0011001110010100000
3101212022012000200121202
41221310332121302200
53330204201242222
6124111320540332
711131620134654
oct1516476316240
9355265020552
10113631665312
1144211127000
121a0330216a8
13a93ba15ca9
1456dd656a64
152e50d61892
hex1a74f99ca0

113631665312 has 96 divisors (see below), whose sum is σ = 252072269568. Its totient is φ = 50390208000.

The previous prime is 113631665309. The next prime is 113631665317. The reversal of 113631665312 is 213566136311.

It is not an unprimeable number, because it can be changed into a prime (113631665317) 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 15 ways as a sum of consecutive naturals, for example, 1713737 + ... + 1778807.

It is an arithmetic number, because the mean of its divisors is an integer number (2625752808).

Almost surely, 2113631665312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113631665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126036134784).

113631665312 is an abundant number, since it is smaller than the sum of its proper divisors (138440604256).

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

113631665312 is an equidigital number, since it uses as much as digits as its factorization.

113631665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65155 (or 65125 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The spelling of 113631665312 in words is "one hundred thirteen billion, six hundred thirty-one million, six hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 121 164 176 242 328 352 451 484 656 902 968 1312 1331 1804 1936 2662 3608 3872 4961 5324 7216 9922 10648 14432 19844 21296 39688 42592 54571 65071 79376 109142 130142 158752 218284 260284 436568 520568 715781 873136 1041136 1431562 1746272 2082272 2667911 2863124 5335822 5726248 7873591 10671644 11452496 15747182 21343288 22904992 29347021 31494364 42686576 58694042 62988728 85373152 86609501 117388084 125977456 173219002 234776168 251954912 322817231 346438004 469552336 645634462 692876008 939104672 1291268924 1385752016 2582537848 2771504032 3550989541 5165075696 7101979082 10330151392 14203958164 28407916328 56815832656 113631665312