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13122123 = 37292743
BaseRepresentation
bin110010000011…
…101001001011
3220200200011120
4302003221023
511324401443
61145130323
7216351630
oct62035113
926620146
1013122123
117452933
1244899a3
132945991
141a58187
151243083
hexc83a4b

13122123 has 24 divisors (see below), whose sum is σ = 20736768. Its totient is φ = 7230048.

The previous prime is 13122119. The next prime is 13122127. The reversal of 13122123 is 32122131.

It is an interprime number because it is at equal distance from previous prime (13122119) and next prime (13122127).

It is not a de Polignac number, because 13122123 - 22 = 13122119 is a prime.

It is a super-2 number, since 2×131221232 = 344380224054258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17290 + ... + 18032.

It is an arithmetic number, because the mean of its divisors is an integer number (864032).

Almost surely, 213122123 is an apocalyptic number.

13122123 is a deficient number, since it is larger than the sum of its proper divisors (7614645).

13122123 is an equidigital number, since it uses as much as digits as its factorization.

13122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 782 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 13122123 is about 3622.4471010630. The cubic root of 13122123 is about 235.8674624477.

Adding to 13122123 its reverse (32122131), we get a palindrome (45244254).

The spelling of 13122123 in words is "thirteen million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 21 29 87 203 609 743 841 2229 2523 5201 5887 15603 17661 21547 64641 150829 452487 624863 1874589 4374041 13122123