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131141568 = 263797857
BaseRepresentation
bin1111101000100…
…00111111000000
3100010202200102010
413310100333000
5232033012233
621002452520
73151453635
oct764207700
9303680363
10131141568
1168031668
1237b04140
132122827c
14135ba18c
15b7a6b63
hex7d10fc0

131141568 has 56 divisors (see below), whose sum is σ = 347819472. Its totient is φ = 43608064.

The previous prime is 131141551. The next prime is 131141599. The reversal of 131141568 is 865141131.

It is a super-2 number, since 2×1311415682 = 34396221714997248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 152596 + ... + 153452.

It is an arithmetic number, because the mean of its divisors is an integer number (6211062).

Almost surely, 2131141568 is an apocalyptic number.

It is an amenable number.

131141568 is an abundant number, since it is smaller than the sum of its proper divisors (216677904).

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

131141568 is an equidigital number, since it uses as much as digits as its factorization.

131141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1659 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 131141568 is about 11451.7058991226. The cubic root of 131141568 is about 508.0581907838.

Adding to 131141568 its reverse (865141131), we get a palindrome (996282699).

The spelling of 131141568 in words is "one hundred thirty-one million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 797 857 1594 1714 2391 2571 3188 3428 4782 5142 6376 6856 9564 10284 12752 13712 19128 20568 25504 27424 38256 41136 51008 54848 76512 82272 153024 164544 683029 1366058 2049087 2732116 4098174 5464232 8196348 10928464 16392696 21856928 32785392 43713856 65570784 131141568