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13271225409 = 34132969481
BaseRepresentation
bin11000101110000011…
…01101010001000001
31021020220011002210000
430113001231101001
5204134413203114
610032520230213
7646605361161
oct142701552101
937226132700
1013271225409
1156a0296092
1226a460b369
131336636500
148dc7ac5a1
1552a179e09
hex31706d441

13271225409 has 30 divisors (see below), whose sum is σ = 21467239926. Its totient is φ = 8166899520.

The previous prime is 13271225327. The next prime is 13271225419. The reversal of 13271225409 is 90452217231.

13271225409 is a `hidden beast` number, since 1 + 3 + 27 + 1 + 225 + 409 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1640250000 + 11630975409 = 40500^2 + 107847^2 .

It is not a de Polignac number, because 13271225409 - 28 = 13271225153 is a prime.

It is a super-2 number, since 2×132712254092 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13271225419) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 471052 + ... + 498429.

Almost surely, 213271225409 is an apocalyptic number.

It is an amenable number.

13271225409 is a deficient number, since it is larger than the sum of its proper divisors (8196014517).

13271225409 is an equidigital number, since it uses as much as digits as its factorization.

13271225409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969519 (or 969497 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13271225409 in words is "thirteen billion, two hundred seventy-one million, two hundred twenty-five thousand, four hundred nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 969481 2908443 8725329 12603253 26175987 37809759 78527961 113429277 163842289 340287831 491526867 1020863493 1474580601 4423741803 13271225409