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131046112 = 2543131727
BaseRepresentation
bin1111100111110…
…01101011100000
3100010120211110201
413303321223200
5232021433422
621000434544
73150605431
oct763715340
9303524421
10131046112
1167a7697a
1237a78a54
13211c39a2
1413593488
15b788727
hex7cf9ae0

131046112 has 48 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 63423360.

The previous prime is 131046109. The next prime is 131046133. The reversal of 131046112 is 211640131.

It is a self number, because there is not a number n which added to its sum of digits gives 131046112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179893 + ... + 180619.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2131046112 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 131046112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

131046112 is an abundant number, since it is smaller than the sum of its proper divisors (135332000).

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

131046112 is a wasteful number, since it uses less digits than its factorization.

131046112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 131046112 is about 11447.5373770956. The cubic root of 131046112 is about 507.9348915254.

Adding to 131046112 its reverse (211640131), we get a palindrome (342686243).

The spelling of 131046112 in words is "one hundred thirty-one million, forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 131 172 262 344 524 688 727 1048 1376 1454 2096 2908 4192 5633 5816 11266 11632 22532 23264 31261 45064 62522 90128 95237 125044 180256 190474 250088 380948 500176 761896 1000352 1523792 3047584 4095191 8190382 16380764 32761528 65523056 131046112