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13030907409 = 3213229272
BaseRepresentation
bin11000010001011001…
…11101111000010001
31020122010221200110100
430020230331320101
5203141403014114
65553013323013
7640626612462
oct141054757021
936563850410
1013030907409
115587675673
122638036469
1312c8903a00
148b88d2d69
15514009909
hex308b3de11

13030907409 has 27 divisors (see below), whose sum is σ = 20388641403. Its totient is φ = 8016280272.

The previous prime is 13030907401. The next prime is 13030907423. The reversal of 13030907409 is 90470903031.

The square root of 13030907409 is 114153.

It is a perfect power (a square), and thus also a powerful number.

13030907409 is a `hidden beast` number, since 130 + 30 + 90 + 7 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1927649025 + 11103258384 = 43905^2 + 105372^2 .

It is not a de Polignac number, because 13030907409 - 23 = 13030907401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13030907401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4450504 + ... + 4453430.

Almost surely, 213030907409 is an apocalyptic number.

13030907409 is the 114153-rd square number.

13030907409 is the 57077-th centered octagonal number.

It is an amenable number.

13030907409 is a deficient number, since it is larger than the sum of its proper divisors (7357733994).

13030907409 is an frugal number, since it uses more digits than its factorization.

13030907409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Multiplying 13030907409 by its sum of digits (36), we get a square (469112666724 = 6849182).

The spelling of 13030907409 in words is "thirteen billion, thirty million, nine hundred seven thousand, four hundred nine".

Divisors: 1 3 9 13 39 117 169 507 1521 2927 8781 26343 38051 114153 342459 494663 1483989 4451967 8567329 25701987 77105961 111375277 334125831 1002377493 1447878601 4343635803 13030907409