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131274513 = 34731492
BaseRepresentation
bin1111101001100…
…01011100010001
3100011000102210000
413310301130101
5232101241023
621005400213
73152546346
oct764613421
9304012700
10131274513
1168112537
1237b69069
1321273936
14136127cd
15b7d1243
hex7d31711

131274513 has 30 divisors (see below), whose sum is σ = 200130854. Its totient is φ = 85738176.

The previous prime is 131274511. The next prime is 131274523. The reversal of 131274513 is 315472131.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 131262849 = 108^2 + 11457^2 .

It is not a de Polignac number, because 131274513 - 21 = 131274511 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131274511) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 880963 + ... + 881111.

Almost surely, 2131274513 is an apocalyptic number.

It is an amenable number.

131274513 is a deficient number, since it is larger than the sum of its proper divisors (68856341).

131274513 is an frugal number, since it uses more digits than its factorization.

131274513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 225 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 131274513 is about 11457.5090224708. The cubic root of 131274513 is about 508.2298144366.

The spelling of 131274513 in words is "one hundred thirty-one million, two hundred seventy-four thousand, five hundred thirteen".

Divisors: 1 3 9 27 73 81 149 219 447 657 1341 1971 4023 5913 10877 12069 22201 32631 66603 97893 199809 293679 599427 881037 1620673 1798281 4862019 14586057 43758171 131274513