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212011231131 = 32721925302689
BaseRepresentation
bin1100010101110011011…
…0101010011110011011
3202021020102112110001200
43011130312222132123
511433144333344011
6241221400245243
721213556505400
oct3053466523633
9667212473050
10212011231131
1181a058a39a7
123510a170823
1316cb98b6a2b
14a3933c42a7
1557acbb2856
hex315cdaa79b

212011231131 has 36 divisors (see below), whose sum is σ = 374985865800. Its totient is φ = 114772992768.

The previous prime is 212011231097. The next prime is 212011231153. The reversal of 212011231131 is 131132110212.

212011231131 is a `hidden beast` number, since 212 + 0 + 112 + 311 + 31 = 666.

It is not a de Polignac number, because 212011231131 - 213 = 212011222939 is a prime.

It is a super-2 number, since 2×2120112311312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212011231231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12642966 + ... + 12659723.

It is an arithmetic number, because the mean of its divisors is an integer number (10416274050).

Almost surely, 2212011231131 is an apocalyptic number.

212011231131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212011231131 is a deficient number, since it is larger than the sum of its proper divisors (162974634669).

212011231131 is a wasteful number, since it uses less digits than its factorization.

212011231131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25302728 (or 25302718 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212011231131 its reverse (131132110212), we get a palindrome (343143341343).

The spelling of 212011231131 in words is "two hundred twelve billion, eleven million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 8379 25302689 75908067 177118823 227724201 480751091 531356469 1239831761 1442253273 1594069407 3365257637 3719495283 4326759819 10095772911 11158485849 23556803459 30287318733 70670410377 212011231131