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113575232420 = 225134110654337
BaseRepresentation
bin110100111000110011…
…1001000001110100100
3101212011020211121020122
41221301213020032210
53330100224414140
6124101543221112
711130333355406
oct1516147101644
9355136747218
10113575232420
1144192292151
121a018147798
13a930117850
1456d5d66b76
152e4ae15ab5
hex1a719c83a4

113575232420 has 48 divisors (see below), whose sum is σ = 263119531248. Its totient is φ = 40912650240.

The previous prime is 113575232413. The next prime is 113575232443. The reversal of 113575232420 is 24232575311.

It can be written as a sum of positive squares in 8 ways, for example, as 8654953024 + 104920279396 = 93032^2 + 323914^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5316509 + ... + 5337828.

It is an arithmetic number, because the mean of its divisors is an integer number (5481656901).

Almost surely, 2113575232420 is an apocalyptic number.

113575232420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113575232420 is an abundant number, since it is smaller than the sum of its proper divisors (149544298828).

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

113575232420 is a wasteful number, since it uses less digits than its factorization.

113575232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10654400 (or 10654398 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 113575232420 in words is "one hundred thirteen billion, five hundred seventy-five million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 10654337 21308674 42617348 53271685 106543370 138506381 213086740 277012762 436827817 554025524 692531905 873655634 1385063810 1747311268 2184139085 2770127620 4368278170 5678761621 8736556340 11357523242 22715046484 28393808105 56787616210 113575232420