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100001000103 = 33141131200201
BaseRepresentation
bin101110100100010000…
…1100010101010100111
3100120010020112011010120
41131020201202222213
53114300224000403
6113535000253023
710140055322154
oct1351041425247
9316106464116
10100001000103
1139456a59534
121746a171173
139578a9ca14
144ba924122b
152904385e53
hex1748862aa7

100001000103 has 32 divisors (see below), whose sum is σ = 142069745664. Its totient is φ = 62462400000.

The previous prime is 100001000083. The next prime is 100001000117. The reversal of 100001000103 is 301000100001.

It is not a de Polignac number, because 100001000103 - 210 = 100000999079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001000091 and 100001000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000153) 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 31 ways as a sum of consecutive naturals, for example, 399403 + ... + 599603.

It is an arithmetic number, because the mean of its divisors is an integer number (4439679552).

Almost surely, 2100001000103 is an apocalyptic number.

100001000103 is a deficient number, since it is larger than the sum of its proper divisors (42068745561).

100001000103 is a wasteful number, since it uses less digits than its factorization.

100001000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200407.

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 100001000103 its reverse (301000100001), we get a palindrome (401001100104).

The spelling of 100001000103 in words is "one hundred billion, one million, one hundred three", and thus it is an aban number.

Divisors: 1 3 31 41 93 123 131 393 1271 3813 4061 5371 12183 16113 166501 200201 499503 600603 6206231 8208241 18618693 24624723 26226331 78678993 254455471 763366413 813016261 1075279571 2439048783 3225838713 33333666701 100001000103