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10231132131 = 32113854089
BaseRepresentation
bin10011000011101001…
…01010111111100011
3222102000200100210200
421201310222333203
5131423132212011
64411120400243
7511352121363
oct114164527743
928360610720
1010231132131
114380231000
121b96476083
13c70854b4c
146d0b2a9a3
153ed316856
hex261d2afe3

10231132131 has 24 divisors (see below), whose sum is σ = 16255040880. Its totient is φ = 6200678880.

The previous prime is 10231132127. The next prime is 10231132139. The reversal of 10231132131 is 13123113201.

10231132131 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 321 + 31 = 666.

It is not a de Polignac number, because 10231132131 - 22 = 10231132127 is a prime.

It is a super-3 number, since 3×102311321313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10231132139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415066 + ... + 439023.

It is an arithmetic number, because the mean of its divisors is an integer number (677293370).

Almost surely, 210231132131 is an apocalyptic number.

10231132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10231132131 is a deficient number, since it is larger than the sum of its proper divisors (6023908749).

10231132131 is an equidigital number, since it uses as much as digits as its factorization.

10231132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854128 (or 854103 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10231132131 its reverse (13123113201), we get a palindrome (23354245332).

The spelling of 10231132131 in words is "ten billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1331 3993 11979 854089 2562267 7686801 9394979 28184937 84554811 103344769 310034307 930102921 1136792459 3410377377 10231132131