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113131788 = 223721117491
BaseRepresentation
bin1101011111001…
…00000100001100
321212212200122020
412233210010030
5212430204123
615120450140
72542414200
oct657440414
9255780566
10113131788
1158950650
1231a79950
131a5909b3
141104cb00
159dea7e3
hex6be410c

113131788 has 72 divisors (see below), whose sum is σ = 335006784. Its totient is φ = 29383200.

The previous prime is 113131771. The next prime is 113131789. The reversal of 113131788 is 887131311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (113131789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2278 + ... + 15213.

It is an arithmetic number, because the mean of its divisors is an integer number (4652872).

Almost surely, 2113131788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113131788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167503392).

113131788 is an abundant number, since it is smaller than the sum of its proper divisors (221874996).

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

113131788 is a wasteful number, since it uses less digits than its factorization.

113131788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17523 (or 17514 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 113131788 is about 10636.3427925204. The cubic root of 113131788 is about 483.6466868022.

The spelling of 113131788 in words is "one hundred thirteen million, one hundred thirty-one thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 17491 34982 52473 69964 104946 122437 192401 209892 244874 367311 384802 489748 577203 734622 769604 857059 1154406 1346807 1469244 1714118 2308812 2571177 2693614 3428236 4040421 5142354 5387228 8080842 9427649 10284708 16161684 18855298 28282947 37710596 56565894 113131788