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113881005 = 3357373257
BaseRepresentation
bin1101100100110…
…10111110101101
321221021202101000
412302122332231
5213123143010
615144510513
72551654410
oct662327655
9257252330
10113881005
1159312537
123217b439
131a793a14
14111a5b77
159ee77c0
hex6c9afad

113881005 has 64 divisors (see below), whose sum is σ = 237703680. Its totient is φ = 50637312.

The previous prime is 113880997. The next prime is 113881093. The reversal of 113881005 is 500188311.

It is not a de Polignac number, because 113881005 - 23 = 113880997 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113881005.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33337 + ... + 36593.

It is an arithmetic number, because the mean of its divisors is an integer number (3714120).

Almost surely, 2113881005 is an apocalyptic number.

113881005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113881005 is an abundant number, since it is smaller than the sum of its proper divisors (123822675).

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

113881005 is a wasteful number, since it uses less digits than its factorization.

113881005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 113881005 is about 10671.5043456862. The cubic root of 113881005 is about 484.7119911190.

The spelling of 113881005 in words is "one hundred thirteen million, eight hundred eighty-one thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 105 111 135 185 189 259 315 333 555 777 945 999 1295 1665 2331 3257 3885 4995 6993 9771 11655 16285 22799 29313 34965 48855 68397 87939 113995 120509 146565 205191 341985 361527 439695 602545 615573 843563 1025955 1084581 1807635 2530689 3077865 3253743 4217815 5422905 7592067 12653445 16268715 22776201 37960335 113881005