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222121211120993 is a prime number
BaseRepresentation
bin110010100000010010011111…
…111000101100110101100001
31002010110120200010001100100202
4302200102133320230311201
5213103213220021332433
62104225024203354545
764533504451354052
oct6240223770546541
91063416603040322
10222121211120993
1164858092a98428
1220ab46b4222a55
1396c2c2bbaa682
143cbca1c860729
151aa2d3838dee8
hexca049fe2cd61

222121211120993 has 2 divisors, whose sum is σ = 222121211120994. Its totient is φ = 222121211120992.

The previous prime is 222121211120969. The next prime is 222121211121031. The reversal of 222121211120993 is 399021112121222.

It is an a-pointer prime, because the next prime (222121211121031) can be obtained adding 222121211120993 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191848899008209 + 30272312112784 = 13850953^2 + 5502028^2 .

It is a cyclic number.

It is not a de Polignac number, because 222121211120993 - 28 = 222121211120737 is a prime.

It is not a weakly prime, because it can be changed into another prime (222121211120693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060605560496 + 111060605560497.

It is an arithmetic number, because the mean of its divisors is an integer number (111060605560497).

Almost surely, 2222121211120993 is an apocalyptic number.

It is an amenable number.

222121211120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121211120993 is an equidigital number, since it uses as much as digits as its factorization.

222121211120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 222121211120993 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, nine hundred ninety-three".