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113254052000 = 2553109421617
BaseRepresentation
bin110100101111001110…
…1111011000010100000
3101211022212110221112112
41221132131323002200
53323421014131000
6124010031214452
711116353362345
oct1513635730240
9354285427475
10113254052000
1144037a61591
1219b48677428
13a8ab71226b
1456a543c7cc
152e2cb21235
hex1a5e77b0a0

113254052000 has 192 divisors, whose sum is σ = 281941339680. Its totient is φ = 44706816000.

The previous prime is 113254051997. The next prime is 113254052017. The reversal of 113254052000 is 250452311.

It can be written as a sum of positive squares in 16 ways, for example, as 55679009296 + 57575042704 = 235964^2 + 239948^2 .

It is an unprimeable number.

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, 183555692 + ... + 183556308.

Almost surely, 2113254052000 is an apocalyptic number.

113254052000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113254052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140970669840).

113254052000 is an abundant number, since it is smaller than the sum of its proper divisors (168687287680).

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

113254052000 is a wasteful number, since it uses less digits than its factorization.

113254052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 113254052000 in words is "one hundred thirteen billion, two hundred fifty-four million, fifty-two thousand".