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102211021993 is a prime number
BaseRepresentation
bin101111100110001000…
…0000110110010101001
3100202211021001220020011
41133030100012302221
53133312010200433
6114542144531521
710245612231523
oct1371420066251
9322737056204
10102211021993
113a390503703
1217986320ba1
13983b8ccb92
144d3896aa13
1529d33d23cd
hex17cc406ca9

102211021993 has 2 divisors, whose sum is σ = 102211021994. Its totient is φ = 102211021992.

The previous prime is 102211021967. The next prime is 102211022009. The reversal of 102211021993 is 399120112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83768567184 + 18442454809 = 289428^2 + 135803^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211021993 - 233 = 93621087401 is a prime.

It is not a weakly prime, because it can be changed into another prime (102211021963) 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, 51105510996 + 51105510997.

It is an arithmetic number, because the mean of its divisors is an integer number (51105510997).

Almost surely, 2102211021993 is an apocalyptic number.

It is an amenable number.

102211021993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211021993 is an equidigital number, since it uses as much as digits as its factorization.

102211021993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 102211021993 in words is "one hundred two billion, two hundred eleven million, twenty-one thousand, nine hundred ninety-three".