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10100232103 = 132443134909
BaseRepresentation
bin10010110100000010…
…10100111110100111
3222001220100221201111
421122001110332213
5131141124411403
64350123005451
7505202361553
oct113201247647
928056327644
1010100232103
114313354965
121b5a669887
13c4c6b2800
146bb5b4863
153e1aab56d
hex25a054fa7

10100232103 has 12 divisors (see below), whose sum is σ = 10961707320. Its totient is φ = 9302176416.

The previous prime is 10100232073. The next prime is 10100232133. The reversal of 10100232103 is 30123200101.

10100232103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10100232073) and next prime (10100232133).

It is not a de Polignac number, because 10100232103 - 29 = 10100231591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100232133) 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 11 ways as a sum of consecutive naturals, for example, 7413 + ... + 142321.

It is an arithmetic number, because the mean of its divisors is an integer number (913475610).

Almost surely, 210100232103 is an apocalyptic number.

10100232103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10100232103 is a deficient number, since it is larger than the sum of its proper divisors (861475217).

10100232103 is a wasteful number, since it uses less digits than its factorization.

10100232103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135378 (or 135365 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10100232103 its reverse (30123200101), we get a palindrome (40223432204).

The spelling of 10100232103 in words is "ten billion, one hundred million, two hundred thirty-two thousand, one hundred three".

Divisors: 1 13 169 443 5759 74867 134909 1753817 22799621 59764687 776940931 10100232103