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122410013 = 1121759509
BaseRepresentation
bin1110100101111…
…01010000011101
322112100001222012
413102331100131
5222314110023
620051401005
73014316335
oct722752035
9275301865
10122410013
1163108500
1234bb3165
131c48bb7b
14123860c5
15ab2e978
hex74bd41d

122410013 has 12 divisors (see below), whose sum is σ = 142466940. Its totient is φ = 104734080.

The previous prime is 122410009. The next prime is 122410031. The reversal of 122410013 is 310014221.

It can be written as a sum of positive squares in 2 ways, for example, as 44582329 + 77827684 = 6677^2 + 8822^2 .

It is not a de Polignac number, because 122410013 - 22 = 122410009 is a prime.

It is a super-2 number, since 2×1224100132 = 29968422565320338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122410013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122410003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27698 + ... + 31811.

It is an arithmetic number, because the mean of its divisors is an integer number (11872245).

Almost surely, 2122410013 is an apocalyptic number.

It is an amenable number.

122410013 is a deficient number, since it is larger than the sum of its proper divisors (20056927).

122410013 is a wasteful number, since it uses less digits than its factorization.

122410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59548 (or 59537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122410013 is about 11063.9058654708. The cubic root of 122410013 is about 496.5225548186.

Adding to 122410013 its reverse (310014221), we get a palindrome (432424234).

The spelling of 122410013 in words is "one hundred twenty-two million, four hundred ten thousand, thirteen".

Divisors: 1 11 17 121 187 2057 59509 654599 1011653 7200589 11128183 122410013