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131513434 = 21322913417
BaseRepresentation
bin1111101011010…
…11110001011010
3100011110120111221
413311223301122
5232131412214
621014442254
73154563043
oct765536132
9304416457
10131513434
1168265a98
123806338a
1321328600
14136758ca
15b82be24
hex7d6bc5a

131513434 has 24 divisors (see below), whose sum is σ = 220994460. Its totient is φ = 58601088.

The previous prime is 131513423. The next prime is 131513441. The reversal of 131513434 is 434315131.

It can be written as a sum of positive squares in 6 ways, for example, as 14938225 + 116575209 = 3865^2 + 10797^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131513399 and 131513408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3094 + ... + 16510.

Almost surely, 2131513434 is an apocalyptic number.

131513434 is a deficient number, since it is larger than the sum of its proper divisors (89481026).

131513434 is a wasteful number, since it uses less digits than its factorization.

131513434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13474 (or 13461 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 131513434 is about 11467.9306764560. The cubic root of 131513434 is about 508.5379554487.

Adding to 131513434 its reverse (434315131), we get a palindrome (565828565).

The spelling of 131513434 in words is "one hundred thirty-one million, five hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 13 26 29 58 169 338 377 754 4901 9802 13417 26834 174421 348842 389093 778186 2267473 4534946 5058209 10116418 65756717 131513434