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10338376107 = 317673025571
BaseRepresentation
bin10011010000011011…
…10001100110101011
3222200111110220212210
421220031301212223
5132133111013412
64425511140203
7514123514133
oct115015614653
928614426783
1010338376107
11442581aa94
122006374663
13c89b33917
14701085ac3
1540794c83c
hex2683719ab

10338376107 has 16 divisors (see below), whose sum is σ = 14813200512. Its totient is φ = 6390003840.

The previous prime is 10338376091. The next prime is 10338376123. The reversal of 10338376107 is 70167383301.

10338376107 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 (10338376091) and next prime (10338376123).

It is not a de Polignac number, because 10338376107 - 24 = 10338376091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10338376177) 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 15 ways as a sum of consecutive naturals, for example, 1509369 + ... + 1516202.

It is an arithmetic number, because the mean of its divisors is an integer number (925825032).

Almost surely, 210338376107 is an apocalyptic number.

10338376107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10338376107 is a deficient number, since it is larger than the sum of its proper divisors (4474824405).

10338376107 is a wasteful number, since it uses less digits than its factorization.

10338376107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025658.

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 10338376107 in words is "ten billion, three hundred thirty-eight million, three hundred seventy-six thousand, one hundred seven".

Divisors: 1 3 17 51 67 201 1139 3417 3025571 9076713 51434707 154304121 202713257 608139771 3446125369 10338376107