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112780413031 = 11131783558947
BaseRepresentation
bin110100100001000111…
…1001000100001100111
3101210002212020121000111
41221002033020201213
53321433241204111
6123451031353451
711101542456616
oct1510217104147
9353085217014
10112780413031
114391466a620
1219a35b22887
13a834559a10
14565c58987d
152e01263a21
hex1a423c8867

112780413031 has 32 divisors (see below), whose sum is σ = 141981735168. Its totient is φ = 88000458240.

The previous prime is 112780413017. The next prime is 112780413041. The reversal of 112780413031 is 130314087211.

It is a cyclic number.

It is not a de Polignac number, because 112780413031 - 25 = 112780412999 is a prime.

It is a super-2 number, since 2×1127804130312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112780412984 and 112780413002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112780413041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77701 + ... + 481246.

It is an arithmetic number, because the mean of its divisors is an integer number (4436929224).

Almost surely, 2112780413031 is an apocalyptic number.

112780413031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112780413031 is a deficient number, since it is larger than the sum of its proper divisors (29201322137).

112780413031 is a wasteful number, since it uses less digits than its factorization.

112780413031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559071.

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 112780413031 in words is "one hundred twelve billion, seven hundred eighty million, four hundred thirteen thousand, thirty-one".

Divisors: 1 11 13 17 83 143 187 221 913 1079 1411 2431 11869 15521 18343 201773 558947 6148417 7266311 9502099 46392601 79929421 104523089 123527287 510318611 603103813 788674217 1358800157 6634141943 8675416387 10252764821 112780413031