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13119182521 = 47224372
BaseRepresentation
bin11000011011111011…
…01101011010111001
31020212022001112010221
430031331231122321
5203332002320041
610005445340041
7643051132354
oct141575553271
936768045127
1013119182521
115622489005
122661707621
131310ca07c3
148c651129b
1551bb452d1
hex30df6d6b9

13119182521 has 9 divisors (see below), whose sum is σ = 13409755599. Its totient is φ = 12834782184.

The previous prime is 13119182509. The next prime is 13119182533. The reversal of 13119182521 is 12528191131.

It is a happy number.

The square root of 13119182521 is 114539.

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

It is an interprime number because it is at equal distance from previous prime (13119182509) and next prime (13119182533).

It can be written as a sum of positive squares in only one way, i.e., 12355434025 + 763748496 = 111155^2 + 27636^2 .

It is not a de Polignac number, because 13119182521 - 227 = 12984964793 is a prime.

It is a super-2 number, since 2×131191825212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13119182551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5382115 + ... + 5384551.

Almost surely, 213119182521 is an apocalyptic number.

13119182521 is the 114539-th square number.

13119182521 is the 57270-th centered octagonal number.

It is an amenable number.

13119182521 is a deficient number, since it is larger than the sum of its proper divisors (290573078).

13119182521 is an frugal number, since it uses more digits than its factorization.

13119182521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 2484 counting only the distinct ones).

The product of its digits is 4320, while the sum is 34.

The spelling of 13119182521 in words is "thirteen billion, one hundred nineteen million, one hundred eighty-two thousand, five hundred twenty-one".

Divisors: 1 47 2209 2437 114539 5383333 5938969 279131543 13119182521