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13098033 = 3213111949
BaseRepresentation
bin110001111101…
…110000110001
3220122110010100
4301331300301
511323114113
61144423013
7216221454
oct61756061
926573110
1013098033
117436823
124477a69
132937a20
141a4d49b
15123ad73
hexc7dc31

13098033 has 12 divisors (see below), whose sum is σ = 20374900. Its totient is φ = 8060256.

The previous prime is 13098013. The next prime is 13098061. The reversal of 13098033 is 33089031.

It can be written as a sum of positive squares in 2 ways, for example, as 651249 + 12446784 = 807^2 + 3528^2 .

It is a de Polignac number, because none of the positive numbers 2k-13098033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13097988 and 13098006.

It is not an unprimeable number, because it can be changed into a prime (13098013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55858 + ... + 56091.

Almost surely, 213098033 is an apocalyptic number.

13098033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13098033 is a deficient number, since it is larger than the sum of its proper divisors (7276867).

13098033 is a wasteful number, since it uses less digits than its factorization.

13098033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111968 (or 111965 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13098033 is about 3619.1204732642. The cubic root of 13098033 is about 235.7230364323.

The spelling of 13098033 in words is "thirteen million, ninety-eight thousand, thirty-three".

Divisors: 1 3 9 13 39 117 111949 335847 1007541 1455337 4366011 13098033