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213005852927 = 7222918982787
BaseRepresentation
bin1100011001100000100…
…0110110000011111111
3202100210202002110122222
43012120020312003333
511442213444243202
6241504210355555
721250324606400
oct3063010660377
9670722073588
10213005852927
1182376283a8a
123534728bbbb
131711798cc3a
14a4495319a7
15581a1804a2
hex31982360ff

213005852927 has 12 divisors (see below), whose sum is σ = 248864350680. Its totient is φ = 181779158736.

The previous prime is 213005852923. The next prime is 213005852971. The reversal of 213005852927 is 729258500312.

213005852927 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213005852927 - 22 = 213005852923 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213005852923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9480173 + ... + 9502614.

It is an arithmetic number, because the mean of its divisors is an integer number (20738695890).

Almost surely, 2213005852927 is an apocalyptic number.

213005852927 is a deficient number, since it is larger than the sum of its proper divisors (35858497753).

213005852927 is a wasteful number, since it uses less digits than its factorization.

213005852927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18983030 (or 18983023 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 213005852927 in words is "two hundred thirteen billion, five million, eight hundred fifty-two thousand, nine hundred twenty-seven".

Divisors: 1 7 49 229 1603 11221 18982787 132879509 930156563 4347058223 30429407561 213005852927