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2131132311 = 327113075227
BaseRepresentation
bin111111100000110…
…0111111110010111
312111112002201221100
41333001213332113
513331032213221
6551245321143
7103545216510
oct17701477627
95445081840
102131132311
119a3a72280
124b58661b3
1327c69b349
14163071a07
15c7166926
hex7f067f97

2131132311 has 24 divisors (see below), whose sum is σ = 3837884544. Its totient is φ = 1107081360.

The previous prime is 2131132303. The next prime is 2131132313. The reversal of 2131132311 is 1132311312.

2131132311 is a `hidden beast` number, since 21 + 311 + 323 + 11 = 666.

It is not a de Polignac number, because 2131132311 - 23 = 2131132303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131132313) 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, 1536921 + ... + 1538306.

It is an arithmetic number, because the mean of its divisors is an integer number (159911856).

Almost surely, 22131132311 is an apocalyptic number.

2131132311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2131132311 is a deficient number, since it is larger than the sum of its proper divisors (1706752233).

2131132311 is a wasteful number, since it uses less digits than its factorization.

2131132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075251 (or 3075248 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2131132311 is about 46164.1886206180. The cubic root of 2131132311 is about 1286.8763055268.

Adding to 2131132311 its reverse (1132311312), we get a palindrome (3263443623).

The spelling of 2131132311 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 3075227 9225681 21526589 27677043 33827497 64579767 101482491 193739301 236792479 304447473 710377437 2131132311