Search a number
-
+
108112631 = 11371092437
BaseRepresentation
bin1100111000110…
…10101011110111
321112102200122112
412130122223313
5210134101011
614421121235
72451641114
oct634325367
9245380575
10108112631
1156032690
123025921b
1319524293
141050390b
15975858b
hex671aaf7

108112631 has 16 divisors (see below), whose sum is σ = 122290080. Its totient is φ = 94711680.

The previous prime is 108112583. The next prime is 108112649. The reversal of 108112631 is 136211801.

It is a cyclic number.

It is not a de Polignac number, because 108112631 - 210 = 108111607 is a prime.

It is a super-2 number, since 2×1081126312 = 23376681963484322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108112597 and 108112606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108112681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43145 + ... + 45581.

It is an arithmetic number, because the mean of its divisors is an integer number (7643130).

Almost surely, 2108112631 is an apocalyptic number.

108112631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

108112631 is a deficient number, since it is larger than the sum of its proper divisors (14177449).

108112631 is a wasteful number, since it uses less digits than its factorization.

108112631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 108112631 is about 10397.7223948324. The cubic root of 108112631 is about 476.3858048974.

The spelling of 108112631 in words is "one hundred eight million, one hundred twelve thousand, six hundred thirty-one".

Divisors: 1 11 37 109 407 1199 2437 4033 26807 44363 90169 265633 991859 2921963 9828421 108112631