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10012013231 = 1124311317029
BaseRepresentation
bin10010101001100001…
…10011001010101111
3221211202100222011212
421110300303022233
5131001033410411
64333252105035
7503051464643
oct112460631257
927752328155
1010012013231
11427857a800
121b3500517b
13c373354ac
146ad9acc23
153d8e8268b
hex254c332af

10012013231 has 24 divisors (see below), whose sum is σ = 11361189840. Its totient is φ = 8810968320.

The previous prime is 10012013189. The next prime is 10012013237. The reversal of 10012013231 is 13231021001.

10012013231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10012013231 is a prime.

It is a super-2 number, since 2×100120132312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012013237) 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 23 ways as a sum of consecutive naturals, for example, 579425 + ... + 596453.

It is an arithmetic number, because the mean of its divisors is an integer number (473382910).

Almost surely, 210012013231 is an apocalyptic number.

10012013231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012013231 is a deficient number, since it is larger than the sum of its proper divisors (1349176609).

10012013231 is a wasteful number, since it uses less digits than its factorization.

10012013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17207 (or 17196 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10012013231 its reverse (13231021001), we get a palindrome (23243034232).

The spelling of 10012013231 in words is "ten billion, twelve million, thirteen thousand, two hundred thirty-one".

Divisors: 1 11 43 113 121 473 1243 4859 5203 13673 17029 53449 187319 587939 732247 1924277 2060509 8054717 21167047 82743911 88601887 232837517 910183021 10012013231