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112131324135 = 345276867467
BaseRepresentation
bin110100001101110001…
…1000011100011100111
3101201102121212110110000
41220123203003203213
53314121104333020
6123302403232343
711046501346305
oct1503343034347
9351377773400
10112131324135
1143611233516
12198946786b3
13a75cc3464c
1455da2a5275
152db429b090
hex1a1b8c38e7

112131324135 has 20 divisors (see below), whose sum is σ = 201005781768. Its totient is φ = 59803372656.

The previous prime is 112131324127. The next prime is 112131324163. The reversal of 112131324135 is 531423131211.

112131324135 is a `hidden beast` number, since 1 + 1 + 213 + 1 + 32 + 413 + 5 = 666.

It is not a de Polignac number, because 112131324135 - 23 = 112131324127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112131324099 and 112131324108.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 138433329 + ... + 138434138.

Almost surely, 2112131324135 is an apocalyptic number.

112131324135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112131324135 is a deficient number, since it is larger than the sum of its proper divisors (88874457633).

112131324135 is an equidigital number, since it uses as much as digits as its factorization.

112131324135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276867484 (or 276867475 counting only the distinct ones).

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

Adding to 112131324135 its reverse (531423131211), we get a palindrome (643554455346).

The spelling of 112131324135 in words is "one hundred twelve billion, one hundred thirty-one million, three hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 276867467 830602401 1384337335 2491807203 4153012005 7475421609 12459036015 22426264827 37377108045 112131324135