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10131001023 = 3111343354539
BaseRepresentation
bin10010110111101101…
…01100111010111111
3222011001021011202010
421123312230322333
5131222014013043
64353142302303
7506025042063
oct113366547277
928131234663
1010131001023
114329760020
121b68a27993
13c55b96780
146c1703aa3
153e4638133
hex25bdacebf

10131001023 has 32 divisors (see below), whose sum is σ = 15906481920. Its totient is φ = 5654499840.

The previous prime is 10131001007. The next prime is 10131001031. The reversal of 10131001023 is 32010013101.

It is not a de Polignac number, because 10131001023 - 24 = 10131001007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131001073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158488 + ... + 213026.

It is an arithmetic number, because the mean of its divisors is an integer number (497077560).

Almost surely, 210131001023 is an apocalyptic number.

10131001023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10131001023 is a deficient number, since it is larger than the sum of its proper divisors (5775480897).

10131001023 is a wasteful number, since it uses less digits than its factorization.

10131001023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54999.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10131001023 its reverse (32010013101), we get a palindrome (42141014124).

The spelling of 10131001023 in words is "ten billion, one hundred thirty-one million, one thousand, twenty-three".

Divisors: 1 3 11 13 33 39 143 429 433 1299 4763 5629 14289 16887 54539 61919 163617 185757 599929 709007 1799787 2127021 7799077 23397231 23615387 70846161 259769257 307000031 779307771 921000093 3377000341 10131001023