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112356431 = 11311671973
BaseRepresentation
bin1101011001001…
…10110001001111
321211102022001022
412230212301033
5212230401211
615052104355
72533004525
oct654466117
9254368038
10112356431
1158471060
12317650bb
131a37bac5
1410cca315
159ce5bdb
hex6b26c4f

112356431 has 16 divisors (see below), whose sum is σ = 127346688. Its totient is φ = 98205600.

The previous prime is 112356427. The next prime is 112356467. The reversal of 112356431 is 134653211.

It is a cyclic number.

It is not a de Polignac number, because 112356431 - 22 = 112356427 is a prime.

It is a super-2 number, since 2×1123564312 = 25247935174115522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112356431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112356401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55961 + ... + 57933.

It is an arithmetic number, because the mean of its divisors is an integer number (7959168).

Almost surely, 2112356431 is an apocalyptic number.

112356431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112356431 is a deficient number, since it is larger than the sum of its proper divisors (14990257).

112356431 is a wasteful number, since it uses less digits than its factorization.

112356431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182.

The product of its digits is 2160, while the sum is 26.

The square root of 112356431 is about 10599.8316496065. The cubic root of 112356431 is about 482.5392502993.

The spelling of 112356431 in words is "one hundred twelve million, three hundred fifty-six thousand, four hundred thirty-one".

Divisors: 1 11 31 167 341 1837 1973 5177 21703 56947 61163 329491 672793 3624401 10214221 112356431