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113457017300 = 22521129376613
BaseRepresentation
bin110100110101010010…
…0001011000111010100
3101211212000101122120212
41221222210023013110
53324324444023200
6124042121344552
711124366510044
oct1515244130724
9354760348525
10113457017300
114413158a400
1219ba4638158
13a911797183
1456c4393724
152e40864035
hex1a6a90b1d4

113457017300 has 54 divisors (see below), whose sum is σ = 270618456654. Its totient is φ = 41257092800.

The previous prime is 113457017299. The next prime is 113457017309. The reversal of 113457017300 is 3710754311.

It can be written as a sum of positive squares in 3 ways, for example, as 13915505296 + 99541512004 = 117964^2 + 315502^2 .

It is a super-2 number, since 2×1134570173002 (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 (113457017309) 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 17 ways as a sum of consecutive naturals, for example, 4676207 + ... + 4700406.

It is an arithmetic number, because the mean of its divisors is an integer number (5011452901).

Almost surely, 2113457017300 is an apocalyptic number.

113457017300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113457017300 is an abundant number, since it is smaller than the sum of its proper divisors (157161439354).

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

113457017300 is a wasteful number, since it uses less digits than its factorization.

113457017300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376649 (or 9376631 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 113457017300 in words is "one hundred thirteen billion, four hundred fifty-seven million, seventeen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 9376613 18753226 37506452 46883065 93766130 103142743 187532260 206285486 234415325 412570972 468830650 515713715 937661300 1031427430 1134570173 2062854860 2269140346 2578568575 4538280692 5157137150 5672850865 10314274300 11345701730 22691403460 28364254325 56728508650 113457017300