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212132212022313 = 3311714249872129
BaseRepresentation
bin110000001110111011100001…
…001001001001110000101001
31000211002122022120221210011000
4300032323201021021300221
5210301033232234203223
62031100105354025213
762453021653065162
oct6016734111116051
91024078276853130
10212132212022313
11616568474583a0
121b960788718209
139149c9bc03b1b
143a5537a798769
15197d0a4117543
hexc0eee1249c29

212132212022313 has 16 divisors (see below), whose sum is σ = 342839938622400. Its totient is φ = 128564976983040.

The previous prime is 212132212022261. The next prime is 212132212022333. The reversal of 212132212022313 is 313220212231212.

212132212022313 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 221 + 202 + 231 + 3 = 666.

It is not a de Polignac number, because 212132212022313 - 214 = 212132212005929 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (212132212022333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357124935768 + ... + 357124936361.

It is an arithmetic number, because the mean of its divisors is an integer number (21427496163900).

Almost surely, 2212132212022313 is an apocalyptic number.

It is an amenable number.

212132212022313 is a deficient number, since it is larger than the sum of its proper divisors (130707726600087).

212132212022313 is a wasteful number, since it uses less digits than its factorization.

212132212022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714249872149 (or 714249872143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212132212022313 its reverse (313220212231212), we get a palindrome (525352424253525).

The spelling of 212132212022313 in words is "two hundred twelve trillion, one hundred thirty-two billion, two hundred twelve million, twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 714249872129 2142749616387 6428248849161 7856748593419 19284746547483 23570245780257 70710737340771 212132212022313