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10131002121023 = 723145231474579
BaseRepresentation
bin1001001101101100111011…
…0010000101101100111111
31022212111212221211112001122
42103123032302011230333
52311441243020333043
633314041303101155
72063640451115300
oct223331662055477
938774787745048
1010131002121023
113256596645543
1211775581417bb
13586470830774
142704b37387a7
151287e5c56368
hex936cec85b3f

10131002121023 has 24 divisors (see below), whose sum is σ = 12167903854080. Its totient is φ = 8401732562160.

The previous prime is 10131002121007. The next prime is 10131002121067. The reversal of 10131002121023 is 32012120013101.

It is not a de Polignac number, because 10131002121023 - 24 = 10131002121007 is a prime.

It is a super-3 number, since 3×101310021210233 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131002120992 and 10131002121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131002123023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6133148 + ... + 7607726.

It is an arithmetic number, because the mean of its divisors is an integer number (506995993920).

Almost surely, 210131002121023 is an apocalyptic number.

10131002121023 is a deficient number, since it is larger than the sum of its proper divisors (2036901733057).

10131002121023 is a wasteful number, since it uses less digits than its factorization.

10131002121023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479147 (or 1479140 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10131002121023 its reverse (32012120013101), we get a palindrome (42143122134124).

The spelling of 10131002121023 in words is "ten trillion, one hundred thirty-one billion, two million, one hundred twenty-one thousand, twenty-three".

Divisors: 1 7 31 49 217 1519 4523 31661 140213 221627 981491 1474579 6870437 10322053 45711949 72254371 319983643 2239885501 6669520817 46686645719 206755145327 326806520033 1447286017289 10131002121023