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10003113231 = 329115399721
BaseRepresentation
bin10010101000011101…
…10110010100001111
3221211010121210200020
421110032312110033
5130441244110411
64332333233223
7502613026266
oct112416662417
927733553606
1010003113231
114273551031
121b32032813
13c3553a517
146ac7335dd
153d82c5606
hex2543b650f

10003113231 has 16 divisors (see below), whose sum is σ = 13809502560. Its totient is φ = 6433136640.

The previous prime is 10003113203. The next prime is 10003113251. The reversal of 10003113231 is 13231130001.

10003113231 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003113231 - 26 = 10003113167 is a prime.

It is a super-2 number, since 2×100031132312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10003113231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003113251) 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, 50451 + ... + 150171.

It is an arithmetic number, because the mean of its divisors is an integer number (863093910).

Almost surely, 210003113231 is an apocalyptic number.

10003113231 is a deficient number, since it is larger than the sum of its proper divisors (3806389329).

10003113231 is a wasteful number, since it uses less digits than its factorization.

10003113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100906.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10003113231 its reverse (13231130001), we get a palindrome (23234243232).

The spelling of 10003113231 in words is "ten billion, three million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 29 87 1153 3459 33437 99721 100311 299163 2891909 8675727 114978313 344934939 3334371077 10003113231