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21165270167 is a prime number
BaseRepresentation
bin10011101101100011…
…000110010010010111
32000122001012010102002
4103231203012102113
5321321302121132
613420113105515
71346331554006
oct235543062227
960561163362
1021165270167
118a81274818
12412825829b
131cc3c2c302
14104ad74c3d
1583d1e6262
hex4ed8c6497

21165270167 has 2 divisors, whose sum is σ = 21165270168. Its totient is φ = 21165270166.

The previous prime is 21165270149. The next prime is 21165270169. The reversal of 21165270167 is 76107256112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21165270167 - 26 = 21165270103 is a prime.

It is a super-2 number, since 2×211652701672 (a number of 21 digits) contains 22 as substring.

Together with 21165270169, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21165270167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21165270169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10582635083 + 10582635084.

It is an arithmetic number, because the mean of its divisors is an integer number (10582635084).

Almost surely, 221165270167 is an apocalyptic number.

21165270167 is a deficient number, since it is larger than the sum of its proper divisors (1).

21165270167 is an equidigital number, since it uses as much as digits as its factorization.

21165270167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 21165270167 in words is "twenty-one billion, one hundred sixty-five million, two hundred seventy thousand, one hundred sixty-seven".