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113101000103 = 71321311913821
BaseRepresentation
bin110100101010101011…
…0000100110110100111
3101210221012111002210202
41221111112010312213
53323112324000403
6123542522541115
711112514432040
oct1512526046647
9353835432722
10113101000103
1143a69625413
1219b0536779b
13a885ab5200
14568cd9b8c7
152e1e48c688
hex1a55584da7

113101000103 has 48 divisors (see below), whose sum is σ = 141810020352. Its totient is φ = 88315344000.

The previous prime is 113101000099. The next prime is 113101000127. The reversal of 113101000103 is 301000101311.

It is a happy number.

It is not a de Polignac number, because 113101000103 - 22 = 113101000099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113101020103) 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 47 ways as a sum of consecutive naturals, for example, 29597933 + ... + 29601753.

It is an arithmetic number, because the mean of its divisors is an integer number (2954375424).

Almost surely, 2113101000103 is an apocalyptic number.

113101000103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113101000103 is a deficient number, since it is larger than the sum of its proper divisors (28709020249).

113101000103 is a wasteful number, since it uses less digits than its factorization.

113101000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 113101000103 its reverse (301000101311), we get a palindrome (414101101414).

The spelling of 113101000103 in words is "one hundred thirteen billion, one hundred one million, one hundred three", and thus it is an aban number.

Divisors: 1 7 13 91 131 169 191 917 1183 1337 1703 2483 3821 11921 17381 22139 25021 26747 32279 49673 154973 175147 225953 325273 347711 500551 645749 729811 2276911 3503857 4228549 4520243 5108677 6507163 9487543 29599843 45550141 66412801 84593119 95605241 123338059 592151833 669236687 863366413 1242868133 8700076931 16157285729 113101000103