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131308681 = 7216372
BaseRepresentation
bin1111101001110…
…01110010001001
3100011002011122111
413310321302021
5232103334211
621010222321
73153051100
oct764716211
9304064574
10131308681
1168136179
1237b849a1
132128635a
1413621037
15b7db421
hex7d39c89

131308681 has 9 divisors (see below), whose sum is σ = 152840199. Its totient is φ = 112481544.

The previous prime is 131308673. The next prime is 131308687. The reversal of 131308681 is 186803131.

The square root of 131308681 is 11459.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 127328656 = 1995^2 + 11284^2 .

It is not a de Polignac number, because 131308681 - 23 = 131308673 is a prime.

It is a super-2 number, since 2×1313086812 = 34483939411919522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131308687) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79395 + ... + 81031.

Almost surely, 2131308681 is an apocalyptic number.

131308681 is the 11459-th square number.

131308681 is the 5730-th centered octagonal number.

It is an amenable number.

131308681 is a deficient number, since it is larger than the sum of its proper divisors (21531518).

131308681 is an frugal number, since it uses more digits than its factorization.

131308681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 131308681 is about 508.2739044622.

The spelling of 131308681 in words is "one hundred thirty-one million, three hundred eight thousand, six hundred eighty-one".

Divisors: 1 7 49 1637 11459 80213 2679769 18758383 131308681