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131230112 = 25131916603
BaseRepresentation
bin1111101001001…
…10100110100000
3100010221011212112
413310212212200
5232043330422
621004414452
73152303036
oct764464640
9303834775
10131230112
1168092142
1237b47428
1321259670
1413600556
15b7c2ee2
hex7d269a0

131230112 has 48 divisors (see below), whose sum is σ = 292894560. Its totient is φ = 57376512.

The previous prime is 131230087. The next prime is 131230117. The reversal of 131230112 is 211032131.

It is not an unprimeable number, because it can be changed into a prime (131230117) 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 7 ways as a sum of consecutive naturals, for example, 398 + ... + 16205.

It is an arithmetic number, because the mean of its divisors is an integer number (6101970).

Almost surely, 2131230112 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 131230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146447280).

131230112 is an abundant number, since it is smaller than the sum of its proper divisors (161664448).

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

131230112 is a wasteful number, since it uses less digits than its factorization.

131230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16645 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131230112 is about 11455.5712210260. The cubic root of 131230112 is about 508.1725084242.

Adding to 131230112 its reverse (211032131), we get a palindrome (342262243).

The spelling of 131230112 in words is "one hundred thirty-one million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 16603 33206 66412 132824 215839 265648 315457 431678 531296 630914 863356 1261828 1726712 2523656 3453424 4100941 5047312 6906848 8201882 10094624 16403764 32807528 65615056 131230112