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113285300 = 22521378269
BaseRepresentation
bin1101100000010…
…01100010110100
321220011111012212
412300021202310
5213000112200
615124032552
72543623562
oct660114264
9256144185
10113285300
1158a45a17
1231b32758
131a61582b
141108ca32
159e2b035
hex6c098b4

113285300 has 36 divisors (see below), whose sum is σ = 247653420. Its totient is φ = 44977920.

The previous prime is 113285279. The next prime is 113285303. The reversal of 113285300 is 3582311.

It can be written as a sum of positive squares in 6 ways, for example, as 2572816 + 110712484 = 1604^2 + 10522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113285303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9566 + ... + 17834.

Almost surely, 2113285300 is an apocalyptic number.

113285300 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 113285300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123826710).

113285300 is an abundant number, since it is smaller than the sum of its proper divisors (134368120).

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

113285300 is a wasteful number, since it uses less digits than its factorization.

113285300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 113285300 is about 10643.5567363546. The cubic root of 113285300 is about 483.8653462812.

The spelling of 113285300 in words is "one hundred thirteen million, two hundred eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 8269 13700 16538 33076 41345 82690 165380 206725 413450 826900 1132853 2265706 4531412 5664265 11328530 22657060 28321325 56642650 113285300