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131216657 = 11134312129
BaseRepresentation
bin1111101001000…
…11010100010001
3100010220111102012
413310203110101
5232042413112
621004232305
73152215565
oct764432421
9303814365
10131216657
1168083020
1237b3b695
13212534c0
14135d96a5
15b7be022
hex7d23511

131216657 has 16 divisors (see below), whose sum is σ = 154586880. Its totient is φ = 109804800.

The previous prime is 131216639. The next prime is 131216699. The reversal of 131216657 is 756612131.

It is a cyclic number.

It is not a de Polignac number, because 131216657 - 26 = 131216593 is a prime.

It is a super-2 number, since 2×1312166572 = 34435622148511298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131216627) 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 15 ways as a sum of consecutive naturals, for example, 60569 + ... + 62697.

It is an arithmetic number, because the mean of its divisors is an integer number (9661680).

Almost surely, 2131216657 is an apocalyptic number.

It is an amenable number.

131216657 is a deficient number, since it is larger than the sum of its proper divisors (23370223).

131216657 is a wasteful number, since it uses less digits than its factorization.

131216657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584.

The product of its digits is 7560, while the sum is 32.

The square root of 131216657 is about 11454.9839371341. The cubic root of 131216657 is about 508.1551402183.

Adding to 131216657 its reverse (756612131), we get a palindrome (887828788).

The spelling of 131216657 in words is "one hundred thirty-one million, two hundred sixteen thousand, six hundred fifty-seven".

Divisors: 1 11 13 143 431 2129 4741 5603 23419 27677 61633 304447 917599 10093589 11928787 131216657