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113320144 = 2472144541
BaseRepresentation
bin1101100000100…
…10000011010000
321220020021000101
412300102003100
5213002221034
615124502144
72544130300
oct660220320
9256207011
10113320144
1158a6a113
1231b4a954
131a628652
141109b600
159e36514
hex6c120d0

113320144 has 30 divisors (see below), whose sum is σ = 255405714. Its totient is φ = 48565440.

The previous prime is 113320133. The next prime is 113320157. The reversal of 113320144 is 441023311.

It can be written as a sum of positive squares in only one way, i.e., 112614544 + 705600 = 10612^2 + 840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71487 + ... + 73054.

Almost surely, 2113320144 is an apocalyptic number.

113320144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113320144 is an abundant number, since it is smaller than the sum of its proper divisors (142085570).

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

113320144 is a wasteful number, since it uses less digits than its factorization.

113320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144563 (or 144550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 113320144 is about 10645.1934693551. The cubic root of 113320144 is about 483.9149498804.

Adding to 113320144 its reverse (441023311), we get a palindrome (554343455).

The spelling of 113320144 in words is "one hundred thirteen million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 144541 289082 578164 1011787 1156328 2023574 2312656 4047148 7082509 8094296 14165018 16188592 28330036 56660072 113320144