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13324129 = 721321609
BaseRepresentation
bin110010110100…
…111101100001
3221001221021021
4302310331201
511402333004
61153325441
7221152600
oct62647541
927057237
1013324129
117580685
124566881
1329b6900
141aaba37
151282d54
hexcb4f61

13324129 has 18 divisors (see below), whose sum is σ = 16793910. Its totient is φ = 10535616.

The previous prime is 13324127. The next prime is 13324133. The reversal of 13324129 is 92142331.

It can be written as a sum of positive squares in 3 ways, for example, as 1317904 + 12006225 = 1148^2 + 3465^2 .

It is not a de Polignac number, because 13324129 - 21 = 13324127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13324127) 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 17 ways as a sum of consecutive naturals, for example, 7477 + ... + 9085.

It is an arithmetic number, because the mean of its divisors is an integer number (932995).

Almost surely, 213324129 is an apocalyptic number.

It is an amenable number.

13324129 is a deficient number, since it is larger than the sum of its proper divisors (3469781).

13324129 is a wasteful number, since it uses less digits than its factorization.

13324129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1629 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 13324129 is about 3650.2231438639. The cubic root of 13324129 is about 237.0716430194.

The spelling of 13324129 in words is "thirteen million, three hundred twenty-four thousand, one hundred twenty-nine".

Divisors: 1 7 13 49 91 169 637 1183 1609 8281 11263 20917 78841 146419 271921 1024933 1903447 13324129