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12163514130 = 2325135150157
BaseRepresentation
bin10110101010000000…
…00111111100010010
31011101200210112120100
423111000013330102
5144402324423010
65330550153230
7610265110215
oct132500077422
934350715510
1012163514130
115181a94219
122435652816
1311bacb5951
1483562377c
154b2cbe2c0
hex2d5007f12

12163514130 has 24 divisors (see below), whose sum is σ = 31625136972. Its totient is φ = 3243603744.

The previous prime is 12163514123. The next prime is 12163514137. The reversal of 12163514130 is 3141536121.

It is a happy number.

12163514130 is a `hidden beast` number, since 1 + 2 + 1 + 635 + 14 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12163514123) and next prime (12163514137).

It can be written as a sum of positive squares in 2 ways, for example, as 11178621441 + 984892689 = 105729^2 + 31383^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12163514094 and 12163514103.

It is not an unprimeable number, because it can be changed into a prime (12163514137) 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, 67574989 + ... + 67575168.

Almost surely, 212163514130 is an apocalyptic number.

12163514130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12163514130 is an abundant number, since it is smaller than the sum of its proper divisors (19461622842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12163514130 is a wasteful number, since it uses less digits than its factorization.

12163514130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135150170 (or 135150167 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12163514130 in words is "twelve billion, one hundred sixty-three million, five hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 135150157 270300314 405450471 675750785 810900942 1216351413 1351501570 2027252355 2432702826 4054504710 6081757065 12163514130