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131345613 = 32719197557
BaseRepresentation
bin1111101010000…
…10110011001101
3100011011001022100
413311002303031
5232111024423
621011105313
73153263550
oct765026315
9304131270
10131345613
11681609a3
1237ba2239
132129a0c9
1413630697
15b7e7343
hex7d42ccd

131345613 has 48 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 70616448.

The previous prime is 131345593. The next prime is 131345633. The reversal of 131345613 is 316543131.

131345613 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 45 + 613 = 666.

It is an interprime number because it is at equal distance from previous prime (131345593) and next prime (131345633).

It is not a de Polignac number, because 131345613 - 25 = 131345581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131345633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235531 + ... + 236087.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2131345613 is an apocalyptic number.

It is an amenable number.

131345613 is a deficient number, since it is larger than the sum of its proper divisors (98461107).

131345613 is a wasteful number, since it uses less digits than its factorization.

131345613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 783 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 131345613 is about 11460.6113711268. The cubic root of 131345613 is about 508.3215525234.

Adding to 131345613 its reverse (316543131), we get a palindrome (447888744).

It can be divided in two parts, 131 and 345613, that added together give a square (345744 = 5882).

The spelling of 131345613 in words is "one hundred thirty-one million, three hundred forty-five thousand, six hundred thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 197 399 557 591 1197 1379 1671 1773 3743 3899 4137 5013 10583 11229 11697 12411 26201 31749 33687 35091 74081 78603 95247 109729 222243 235809 329187 666729 768103 987561 2084851 2304309 6254553 6912927 14593957 18763659 43781871 131345613