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32212145313 = 338978717033
BaseRepresentation
bin11101111111111111…
…100101010010100001
310002010220211112021000
4131333333211102201
51011432302122223
622444214022213
72220150501045
oct357777452241
9102126745230
1032212145313
111272aa095a7
1262ab947969
13306478991a
1417b8168025
15c87e44543
hex77ffe54a1

32212145313 has 32 divisors (see below), whose sum is σ = 48322051200. Its totient is φ = 21205248768.

The previous prime is 32212145281. The next prime is 32212145341. The reversal of 32212145313 is 31354121223.

32212145313 is a `hidden beast` number, since 3 + 2 + 2 + 121 + 4 + 531 + 3 = 666.

It is not a de Polignac number, because 32212145313 - 25 = 32212145281 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 (32212145393) 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 31 ways as a sum of consecutive naturals, for example, 1882645 + ... + 1899677.

It is an arithmetic number, because the mean of its divisors is an integer number (1510064100).

Almost surely, 232212145313 is an apocalyptic number.

It is an amenable number.

32212145313 is a deficient number, since it is larger than the sum of its proper divisors (16109905887).

32212145313 is a wasteful number, since it uses less digits than its factorization.

32212145313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17918 (or 17912 counting only the distinct ones).

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

Adding to 32212145313 its reverse (31354121223), we get a palindrome (63566266536).

The spelling of 32212145313 in words is "thirty-two billion, two hundred twelve million, one hundred forty-five thousand, three hundred thirteen".

Divisors: 1 3 9 27 89 267 787 801 2361 2403 7083 17033 21249 51099 70043 153297 210129 459891 630387 1515937 1891161 4547811 13404971 13643433 40214913 40930299 120644739 361934217 1193042419 3579127257 10737381771 32212145313