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211132131 = 3724730559
BaseRepresentation
bin11001001010110…
…01111011100011
3112201021121211120
430211121323203
5413022212011
632541143323
75142410400
oct1445317343
9481247746
10211132131
11a91a6771
125a85ab43
1334984272
142007d2a7
1513807a06
hexc959ee3

211132131 has 24 divisors (see below), whose sum is σ = 334448640. Its totient is φ = 118076112.

The previous prime is 211132127. The next prime is 211132139. The reversal of 211132131 is 131231112.

It is a happy number.

It is not a de Polignac number, because 211132131 - 22 = 211132127 is a prime.

It is a super-2 number, since 2×2111321312 = 89153553481202322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211132131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132139) 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, 8371 + ... + 22188.

It is an arithmetic number, because the mean of its divisors is an integer number (13935360).

Almost surely, 2211132131 is an apocalyptic number.

211132131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211132131 is a deficient number, since it is larger than the sum of its proper divisors (123316509).

211132131 is a wasteful number, since it uses less digits than its factorization.

211132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30623 (or 30616 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 211132131 is about 14530.3864711163. The cubic root of 211132131 is about 595.4584241049.

Adding to 211132131 its reverse (131231112), we get a palindrome (342363243).

The spelling of 211132131 in words is "two hundred eleven million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 47 49 141 147 329 987 2303 6909 30559 91677 213913 641739 1436273 1497391 4308819 4492173 10053911 30161733 70377377 211132131