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113132103123 = 31319563271181
BaseRepresentation
bin110100101011100110…
…0101110010111010011
3101211000101000022010110
41221113030232113103
53323143304244443
6123545553332403
711113343003304
oct1512714562723
9354011008113
10113132103123
1143a85139596
1219b13867103
13a88c385270
1456931767ab
152e22083233
hex1a5732e5d3

113132103123 has 32 divisors (see below), whose sum is σ = 171300245760. Its totient is φ = 65838165120.

The previous prime is 113132103103. The next prime is 113132103187. The reversal of 113132103123 is 321301231311.

It is a happy number.

It is not a de Polignac number, because 113132103123 - 213 = 113132094931 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113132103123.

It is not an unprimeable number, because it can be changed into a prime (113132103103) 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, 281593 + ... + 552773.

It is an arithmetic number, because the mean of its divisors is an integer number (5353132680).

Almost surely, 2113132103123 is an apocalyptic number.

113132103123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113132103123 is a deficient number, since it is larger than the sum of its proper divisors (58168142637).

113132103123 is a wasteful number, since it uses less digits than its factorization.

113132103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271779.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113132103123 its reverse (321301231311), we get a palindrome (434433334434).

The spelling of 113132103123 in words is "one hundred thirteen billion, one hundred thirty-two million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 3 13 19 39 57 247 563 741 1689 7319 10697 21957 32091 139061 271181 417183 813543 3525353 5152439 10576059 15457317 66981707 152674903 200945121 458024709 1984773739 2900823157 5954321217 8702469471 37710701041 113132103123