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21314201089 is a prime number
BaseRepresentation
bin10011110110011011…
…001110011000000001
32001000102102121020011
4103312123032120001
5322122413413324
613442553144521
71353120501646
oct236633163001
961012377204
1021314201089
119048346825
12416a0bb141
132018a4570c
141062a61dcd
1584b313c94
hex4f66ce601

21314201089 has 2 divisors, whose sum is σ = 21314201090. Its totient is φ = 21314201088.

The previous prime is 21314201023. The next prime is 21314201099. The reversal of 21314201089 is 98010241312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21094657600 + 219543489 = 145240^2 + 14817^2 .

It is a cyclic number.

It is not a de Polignac number, because 21314201089 - 27 = 21314200961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21314201089.

It is not a weakly prime, because it can be changed into another prime (21314201009) 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, 10657100544 + 10657100545.

It is an arithmetic number, because the mean of its divisors is an integer number (10657100545).

Almost surely, 221314201089 is an apocalyptic number.

It is an amenable number.

21314201089 is a deficient number, since it is larger than the sum of its proper divisors (1).

21314201089 is an equidigital number, since it uses as much as digits as its factorization.

21314201089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 21314201089 in words is "twenty-one billion, three hundred fourteen million, two hundred one thousand, eighty-nine".