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10222218257 is a prime number
BaseRepresentation
bin10011000010100101…
…01010110000010001
3222101101220111021012
421201102222300101
5131413341441012
64410201340305
7511213264406
oct114122526021
928341814235
1010222218257
1143761a2969
121b93497695
13c6ba53774
146cd88a2ad
153ec655622
hex2614aac11

10222218257 has 2 divisors, whose sum is σ = 10222218258. Its totient is φ = 10222218256.

The previous prime is 10222218229. The next prime is 10222218353. The reversal of 10222218257 is 75281222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8771446336 + 1450771921 = 93656^2 + 38089^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222218257 - 212 = 10222214161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222218157) 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, 5111109128 + 5111109129.

It is an arithmetic number, because the mean of its divisors is an integer number (5111109129).

Almost surely, 210222218257 is an apocalyptic number.

It is an amenable number.

10222218257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222218257 is an equidigital number, since it uses as much as digits as its factorization.

10222218257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 10222218257 in words is "ten billion, two hundred twenty-two million, two hundred eighteen thousand, two hundred fifty-seven".