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222121222211957 is a prime number
BaseRepresentation
bin110010100000010010100000…
…100011000000100101110101
31002010110120200212220211022012
4302200102200203000211311
5213103213230341240312
62104225025241214005
764533504644546165
oct6240224043004565
91063416625824265
10222121222211957
1164858099283212
1220ab46b7a91305
1396c2c31291983
143cbca2010a5a5
151aa2d39330322
hexca04a08c0975

222121222211957 has 2 divisors, whose sum is σ = 222121222211958. Its totient is φ = 222121222211956.

The previous prime is 222121222211939. The next prime is 222121222212011. The reversal of 222121222211957 is 759112222121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 180719384262481 + 41401837949476 = 13443191^2 + 6434426^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121222211957 - 26 = 222121222211893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222121222211857) 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, 111060611105978 + 111060611105979.

It is an arithmetic number, because the mean of its divisors is an integer number (111060611105979).

Almost surely, 2222121222211957 is an apocalyptic number.

It is an amenable number.

222121222211957 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121222211957 is an equidigital number, since it uses as much as digits as its factorization.

222121222211957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 41.

The spelling of 222121222211957 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred eleven thousand, nine hundred fifty-seven".