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2312135022231 = 33163525365831
BaseRepresentation
bin100001101001010101111…
…111001001011010010111
322012001000122221212202000
4201221111333021122113
5300340223031202411
64530102525450343
7326021601263106
oct41512577113227
98161018855660
102312135022231
11811630a40981
123141354109b3
1313a0584b11b8
147dc9d51a03d
1540225bcd956
hex21a55fc9697

2312135022231 has 16 divisors (see below), whose sum is σ = 3446399857920. Its totient is φ = 1531966760280.

The previous prime is 2312135022217. The next prime is 2312135022311. The reversal of 2312135022231 is 1322205312132.

2312135022231 is a `hidden beast` number, since 2 + 3 + 121 + 3 + 502 + 2 + 2 + 31 = 666.

It is not a de Polignac number, because 2312135022231 - 29 = 2312135021719 is a prime.

It is a super-2 number, since 2×23121350222312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2312135022195 and 2312135022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312135026231) 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 15 ways as a sum of consecutive naturals, for example, 262678515 + ... + 262687316.

It is an arithmetic number, because the mean of its divisors is an integer number (215399991120).

Almost surely, 22312135022231 is an apocalyptic number.

2312135022231 is a deficient number, since it is larger than the sum of its proper divisors (1134264835689).

2312135022231 is a wasteful number, since it uses less digits than its factorization.

2312135022231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525366003 (or 525365997 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 2312135022231 in words is "two trillion, three hundred twelve billion, one hundred thirty-five million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 163 489 1467 4401 525365831 1576097493 4728292479 14184877437 85634630453 256903891359 770711674077 2312135022231