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1312009361 = 13216134813
BaseRepresentation
bin100111000110011…
…1010110010010001
310101102202222111022
41032030322302101
510141333244421
6334104525225
744340616115
oct11614726221
93342688438
101312009361
11613660063
12307480815
1317ba81300
14c6369745
157a2b37ab
hex4e33ac91

1312009361 has 12 divisors (see below), whose sum is σ = 1421872668. Its totient is φ = 1210083264.

The previous prime is 1312009339. The next prime is 1312009367. The reversal of 1312009361 is 1639002131.

It can be written as a sum of positive squares in 6 ways, for example, as 50410000 + 1261599361 = 7100^2 + 35519^2 .

It is not a de Polignac number, because 1312009361 - 26 = 1312009297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312009361.

It is not an unprimeable number, because it can be changed into a prime (1312009367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270191 + ... + 275003.

It is an arithmetic number, because the mean of its divisors is an integer number (118489389).

Almost surely, 21312009361 is an apocalyptic number.

It is an amenable number.

1312009361 is a deficient number, since it is larger than the sum of its proper divisors (109863307).

1312009361 is a wasteful number, since it uses less digits than its factorization.

1312009361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 1312009361 is about 36221.6697710086. The cubic root of 1312009361 is about 1094.7433385785.

The spelling of 1312009361 in words is "one billion, three hundred twelve million, nine thousand, three hundred sixty-one".

Divisors: 1 13 169 1613 4813 20969 62569 272597 813397 7763369 100923797 1312009361