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10218000973 is a prime number
BaseRepresentation
bin10011000010000101…
…00101001001001101
3222101002222020020111
421201002211021031
5131411302012343
64405531120021
7511132401205
oct114102451115
928332866214
1010218000973
114373882404
121b91ba3011
13c6ac0802b
146cd0ad405
153ec0c0c9d
hex2610a524d

10218000973 has 2 divisors, whose sum is σ = 10218000974. Its totient is φ = 10218000972.

The previous prime is 10218000971. The next prime is 10218001039. The reversal of 10218000973 is 37900081201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6855508804 + 3362492169 = 82798^2 + 57987^2 .

It is a cyclic number.

It is not a de Polignac number, because 10218000973 - 21 = 10218000971 is a prime.

Together with 10218000971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10218000971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5109000486 + 5109000487.

It is an arithmetic number, because the mean of its divisors is an integer number (5109000487).

Almost surely, 210218000973 is an apocalyptic number.

It is an amenable number.

10218000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10218000973 is an equidigital number, since it uses as much as digits as its factorization.

10218000973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 10218000973 in words is "ten billion, two hundred eighteen million, nine hundred seventy-three", and thus it is an aban number.