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21300337169 is a prime number
BaseRepresentation
bin10011110101100110…
…010101101000010001
32000222110100020111122
4103311212111220101
5322110341242134
613441340052025
71352561610236
oct236546255021
960873306448
1021300337169
119040537641
124165534015
132015c00207
141060c9378d
15849ec602e
hex4f5995a11

21300337169 has 2 divisors, whose sum is σ = 21300337170. Its totient is φ = 21300337168.

The previous prime is 21300337129. The next prime is 21300337171. The reversal of 21300337169 is 96173300312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20703756544 + 596580625 = 143888^2 + 24425^2 .

It is a cyclic number.

It is not a de Polignac number, because 21300337169 - 216 = 21300271633 is a prime.

It is a super-2 number, since 2×213003371692 (a number of 21 digits) contains 22 as substring.

Together with 21300337171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21300337129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10650168584 + 10650168585.

It is an arithmetic number, because the mean of its divisors is an integer number (10650168585).

Almost surely, 221300337169 is an apocalyptic number.

It is an amenable number.

21300337169 is a deficient number, since it is larger than the sum of its proper divisors (1).

21300337169 is an equidigital number, since it uses as much as digits as its factorization.

21300337169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 35.

The spelling of 21300337169 in words is "twenty-one billion, three hundred million, three hundred thirty-seven thousand, one hundred sixty-nine".