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213345131460021 = 321116091339342031
BaseRepresentation
bin110000100000100101001000…
…110001100111010110110101
31000222101121002000212022220100
4300200211020301213112311
5210430421312123210041
62033425222251024313
762636451146151321
oct6040451061472665
91028347060768810
10213345131460021
1161a841868a4230
121bb17870a3b099
139207489c94212
143a97d60a7a981
15199e8e313e6b6
hexc20948c675b5

213345131460021 has 24 divisors (see below), whose sum is σ = 336389144757120. Its totient is φ = 129219719054400.

The previous prime is 213345131459923. The next prime is 213345131460091. The reversal of 213345131460021 is 120064131543312.

213345131460021 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 4 + 5 + 13 + 14 + 600 + 21 = 666.

It is not a de Polignac number, because 213345131460021 - 222 = 213345127265717 is a prime.

It is a super-2 number, since 2×2133451314600212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213345131460091) 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, 669511725 + ... + 669830306.

It is an arithmetic number, because the mean of its divisors is an integer number (14016214364880).

Almost surely, 2213345131460021 is an apocalyptic number.

It is an amenable number.

213345131460021 is a deficient number, since it is larger than the sum of its proper divisors (123044013297099).

213345131460021 is a wasteful number, since it uses less digits than its factorization.

213345131460021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339343657 (or 1339343654 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 213345131460021 in words is "two hundred thirteen trillion, three hundred forty-five billion, one hundred thirty-one million, four hundred sixty thousand, twenty-one".

Divisors: 1 3 9 11 33 99 1609 4827 14481 17699 53097 159291 1339342031 4018026093 12054078279 14732762341 44198287023 132594861069 2155001327879 6465003983637 19395011950911 23705014606669 71115043820007 213345131460021