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22201202200993 is a prime number
BaseRepresentation
bin1010000110001000111101…
…10001010101000110100001
32220121102011221202011211221
411003010132301111012201
510402221030230412433
6115115031432335041
74450661326020064
oct503043661250641
986542157664757
1022201202200993
11708a527949462
1225a68a9844481
13c50744c4c4ba
1456a7887328db
15287786b0a72d
hex14311ec551a1

22201202200993 has 2 divisors, whose sum is σ = 22201202200994. Its totient is φ = 22201202200992.

The previous prime is 22201202200987. The next prime is 22201202200997. The reversal of 22201202200993 is 39900220210222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21366369130129 + 834833070864 = 4622377^2 + 913692^2 .

It is a cyclic number.

It is not a de Polignac number, because 22201202200993 - 225 = 22201168646561 is a prime.

It is not a weakly prime, because it can be changed into another prime (22201202200997) 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, 11100601100496 + 11100601100497.

It is an arithmetic number, because the mean of its divisors is an integer number (11100601100497).

Almost surely, 222201202200993 is an apocalyptic number.

It is an amenable number.

22201202200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22201202200993 is an equidigital number, since it uses as much as digits as its factorization.

22201202200993 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 34.

The spelling of 22201202200993 in words is "twenty-two trillion, two hundred one billion, two hundred two million, two hundred thousand, nine hundred ninety-three".