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21185458117 is a prime number
BaseRepresentation
bin10011101110110000…
…000110111111000101
32000200110011210001221
4103232300012333011
5321341434124432
613422113520341
71346665265005
oct235660067705
960613153057
1021185458117
118a9170327a
124132b730b1
131cc817a145
14104d90c005
1583ed82b97
hex4eec06fc5

21185458117 has 2 divisors, whose sum is σ = 21185458118. Its totient is φ = 21185458116.

The previous prime is 21185458103. The next prime is 21185458153. The reversal of 21185458117 is 71185458112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18124159876 + 3061298241 = 134626^2 + 55329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21185458117 is a prime.

It is a super-2 number, since 2×211854581172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21185458817) 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 as a sum of consecutive naturals, namely, 10592729058 + 10592729059.

It is an arithmetic number, because the mean of its divisors is an integer number (10592729059).

Almost surely, 221185458117 is an apocalyptic number.

It is an amenable number.

21185458117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21185458117 is an equidigital number, since it uses as much as digits as its factorization.

21185458117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 89600, while the sum is 43.

The spelling of 21185458117 in words is "twenty-one billion, one hundred eighty-five million, four hundred fifty-eight thousand, one hundred seventeen".