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2222312120993 is a prime number
BaseRepresentation
bin100000010101101100000…
…111111110001010100001
321212110011202022201110002
4200111230013332022201
5242402243400332433
64420525513145345
7316361652232346
oct40255407761241
97773152281402
102222312120993
117875282907a8
122ba8479bb255
131317422883b3
14797bbd5c7cd
153cc1a1859e8
hex2056c1fe2a1

2222312120993 has 2 divisors, whose sum is σ = 2222312120994. Its totient is φ = 2222312120992.

The previous prime is 2222312120971. The next prime is 2222312121037. The reversal of 2222312120993 is 3990212132222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2051405946529 + 170906174464 = 1432273^2 + 413408^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222312120993 - 212 = 2222312116897 is a prime.

It is a super-2 number, since 2×22223121209932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2222312120393) 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, 1111156060496 + 1111156060497.

It is an arithmetic number, because the mean of its divisors is an integer number (1111156060497).

Almost surely, 22222312120993 is an apocalyptic number.

It is an amenable number.

2222312120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222312120993 is an equidigital number, since it uses as much as digits as its factorization.

2222312120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 2222312120993 in words is "two trillion, two hundred twenty-two billion, three hundred twelve million, one hundred twenty thousand, nine hundred ninety-three".