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130131309 = 37211233499
BaseRepresentation
bin1111100000110…
…10010101101101
3100001212100121010
413300122111231
5231303200214
620525055433
73140045400
oct760322555
9301770533
10130131309
1167501640
12376b7579
1320c63499
14133d5d37
15b657659
hex7c1a56d

130131309 has 48 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 64643040.

The previous prime is 130131299. The next prime is 130131343. The reversal of 130131309 is 903131031.

It is not a de Polignac number, because 130131309 - 24 = 130131293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131349) 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, 35442 + ... + 38940.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2130131309 is an apocalyptic number.

It is an amenable number.

130131309 is a deficient number, since it is larger than the sum of its proper divisors (99692691).

130131309 is a wasteful number, since it uses less digits than its factorization.

130131309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 130131309 is about 11407.5110782326. The cubic root of 130131309 is about 506.7502047064.

The spelling of 130131309 in words is "one hundred thirty million, one hundred thirty-one thousand, three hundred nine".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1617 1771 3381 3499 5313 10497 12397 24493 37191 38489 73479 80477 115467 171451 241431 269423 514353 563339 808269 885247 1690017 1885961 2655741 3943373 5657883 6196729 11830119 18590187 43377103 130131309