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13183313 = 1121317229
BaseRepresentation
bin110010010010…
…100101010001
3220210210002212
4302102211101
511333331223
61150321505
7220025213
oct62224521
926723085
1013183313
117494900
1244b9295
1329677a0
141a725b3
151256278
hexc92951

13183313 has 36 divisors (see below), whose sum is σ = 17149020. Its totient is φ = 10053120.

The previous prime is 13183309. The next prime is 13183319. The reversal of 13183313 is 31338131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 165649 + 13017664 = 407^2 + 3608^2 .

It is not a de Polignac number, because 13183313 - 22 = 13183309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13183319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 454583 + ... + 454611.

Almost surely, 213183313 is an apocalyptic number.

13183313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13183313 is a deficient number, since it is larger than the sum of its proper divisors (3965707).

13183313 is a wasteful number, since it uses less digits than its factorization.

13183313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 13183313 is about 3630.8832258832. The cubic root of 13183313 is about 236.2335199351.

The spelling of 13183313 in words is "thirteen million, one hundred eighty-three thousand, three hundred thirteen".

Divisors: 1 11 13 17 29 121 143 187 221 289 319 377 493 1573 2057 2431 3179 3509 3757 4147 5423 6409 8381 26741 34969 41327 45617 59653 70499 92191 108953 454597 775489 1014101 1198483 13183313