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113131312 = 24773101137
BaseRepresentation
bin1101011111000…
…11111100110000
321212212122222121
412233203330300
5212430200222
615120444024
72542412620
oct657437460
9255778877
10113131312
1158950258
1231a79614
131a590708
141104c880
159dea5c7
hex6be3f30

113131312 has 80 divisors (see below), whose sum is σ = 258322752. Its totient is φ = 47001600.

The previous prime is 113131297. The next prime is 113131321. The reversal of 113131312 is 213131311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825708 + ... + 825844.

Almost surely, 2113131312 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 113131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129161376).

113131312 is an abundant number, since it is smaller than the sum of its proper divisors (145191440).

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

113131312 is a wasteful number, since it uses less digits than its factorization.

113131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 113131312 is about 10636.3204163846. The cubic root of 113131312 is about 483.6460084896.

113131312 divided by its sum of digits (16) gives a palindrome (7070707).

Adding to 113131312 its reverse (213131311), we get a palindrome (326262623).

Subtracting 113131312 from its reverse (213131311), we obtain a palindrome (99999999).

The spelling of 113131312 in words is "one hundred thirteen million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 73 101 112 137 146 202 274 292 404 511 548 584 707 808 959 1022 1096 1168 1414 1616 1918 2044 2192 2828 3836 4088 5656 7373 7672 8176 10001 11312 13837 14746 15344 20002 27674 29492 40004 51611 55348 58984 70007 80008 96859 103222 110696 117968 140014 160016 193718 206444 221392 280028 387436 412888 560056 774872 825776 1010101 1120112 1549744 2020202 4040404 7070707 8080808 14141414 16161616 28282828 56565656 113131312