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113131310103 = 32721811141653
BaseRepresentation
bin110100101011100100…
…1101100110000010111
3101211000022112000022100
41221113021230300113
53323143103410403
6123545524333143
711113333161300
oct1512711546027
9354008460270
10113131310103
1143a847477a9
1219b135441b3
13a88c168316
14569300b7a7
152e21e782a3
hex1a5726cc17

113131310103 has 36 divisors (see below), whose sum is σ = 190197692568. Its totient is φ = 64610310240.

The previous prime is 113131310011. The next prime is 113131310137. The reversal of 113131310103 is 301013131311.

It is not a de Polignac number, because 113131310103 - 28 = 113131309847 is a prime.

It is a super-2 number, since 2×1131313101032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131310153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727825 + ... + 869477.

It is an arithmetic number, because the mean of its divisors is an integer number (5283269238).

Almost surely, 2113131310103 is an apocalyptic number.

113131310103 is a deficient number, since it is larger than the sum of its proper divisors (77066382465).

113131310103 is a wasteful number, since it uses less digits than its factorization.

113131310103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143484 (or 143474 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 113131310103 its reverse (301013131311), we get a palindrome (414144441414).

The spelling of 113131310103 in words is "one hundred thirteen billion, one hundred thirty-one million, three hundred ten thousand, one hundred three".

Divisors: 1 3 7 9 21 49 63 147 441 1811 5433 12677 16299 38031 88739 114093 141653 266217 424959 798651 991571 1274877 2974713 6940997 8924139 20822991 62468973 256533583 769600749 1795735081 2308802247 5387205243 12570145567 16161615729 37710436701 113131310103