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113152100 = 225210131117
BaseRepresentation
bin1101011111010…
…01000001100100
321212220201111112
412233221001210
5212431331400
615121124152
72542530335
oct657510144
9255821445
10113152100
1158964936
1231a89658
131a59a009
141105628c
159e01835
hex6be9064

113152100 has 36 divisors (see below), whose sum is σ = 246002484. Its totient is φ = 45175680.

The previous prime is 113152099. The next prime is 113152103. The reversal of 113152100 is 1251311.

It can be written as a sum of positive squares in 6 ways, for example, as 58125376 + 55026724 = 7624^2 + 7418^2 .

It is not an unprimeable number, because it can be changed into a prime (113152103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100742 + ... + 101858.

Almost surely, 2113152100 is an apocalyptic number.

113152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113152100 is an abundant number, since it is smaller than the sum of its proper divisors (132850384).

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

113152100 is a wasteful number, since it uses less digits than its factorization.

113152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 113152100 is about 10637.2975891436. The cubic root of 113152100 is about 483.6756301664.

The spelling of 113152100 in words is "one hundred thirteen million, one hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1013 1117 2026 2234 4052 4468 5065 5585 10130 11170 20260 22340 25325 27925 50650 55850 101300 111700 1131521 2263042 4526084 5657605 11315210 22630420 28288025 56576050 113152100