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12223100312993 is a prime number
BaseRepresentation
bin1011000111011110100110…
…0011010101110110100001
31121021111221212200021102202
42301313221203111312201
53100230402140003433
641555114220022545
72401042551253553
oct261675143256641
947244855607382
1012223100312993
113992873520069
121454b03691a55
136a88307c0ccb
1430385ba214d3
15162e3e3bbee8
hexb1de98d5da1

12223100312993 has 2 divisors, whose sum is σ = 12223100312994. Its totient is φ = 12223100312992.

The previous prime is 12223100312977. The next prime is 12223100313019. The reversal of 12223100312993 is 39921300132221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11906523039889 + 316577273104 = 3450583^2 + 562652^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223100312993 - 24 = 12223100312977 is a prime.

It is a super-2 number, since 2×122231003129932 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12223100312963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111550156496 + 6111550156497.

It is an arithmetic number, because the mean of its divisors is an integer number (6111550156497).

Almost surely, 212223100312993 is an apocalyptic number.

It is an amenable number.

12223100312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223100312993 is an equidigital number, since it uses as much as digits as its factorization.

12223100312993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 38.

The spelling of 12223100312993 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, three hundred twelve thousand, nine hundred ninety-three".