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12126600113 = 371933169553
BaseRepresentation
bin10110100101100110…
…10011101110110001
31011022010100010001112
423102303103232301
5144313402200423
65323151043105
7606336254165
oct132263235661
934263303045
1012126600113
115163171171
122425210495
1311b345c934
14830774ca5
154ae92ba78
hex2d2cd3bb1

12126600113 has 8 divisors (see below), whose sum is σ = 12460862568. Its totient is φ = 11792680704.

The previous prime is 12126600107. The next prime is 12126600127. The reversal of 12126600113 is 31100662121.

It can be written as a sum of positive squares in 4 ways, for example, as 3472391329 + 8654208784 = 58927^2 + 93028^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12126600113 - 24 = 12126600097 is a prime.

It is a super-2 number, since 2×121266001132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12126600193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13256 + ... + 156297.

It is an arithmetic number, because the mean of its divisors is an integer number (1557607821).

Almost surely, 212126600113 is an apocalyptic number.

It is an amenable number.

12126600113 is a deficient number, since it is larger than the sum of its proper divisors (334262455).

12126600113 is a wasteful number, since it uses less digits than its factorization.

12126600113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171523.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 12126600113 in words is "twelve billion, one hundred twenty-six million, six hundred thousand, one hundred thirteen".

Divisors: 1 37 1933 71521 169553 6273461 327745949 12126600113