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102213322993 is a prime number
BaseRepresentation
bin101111100110001100…
…0111000100011110001
3100202211102101210121101
41133030120320203301
53133313102313433
6114542310124401
710245640624135
oct1371430704361
9322742353541
10102213322993
113a391835461
1217987050701
13983c227312
144d38da93c5
1529d36d907d
hex17cc6388f1

102213322993 has 2 divisors, whose sum is σ = 102213322994. Its totient is φ = 102213322992.

The previous prime is 102213322969. The next prime is 102213323059. The reversal of 102213322993 is 399223312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100250124129 + 1963198864 = 316623^2 + 44308^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213322993 - 25 = 102213322961 is a prime.

It is not a weakly prime, because it can be changed into another prime (102213322493) 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, 51106661496 + 51106661497.

It is an arithmetic number, because the mean of its divisors is an integer number (51106661497).

Almost surely, 2102213322993 is an apocalyptic number.

It is an amenable number.

102213322993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213322993 is an equidigital number, since it uses as much as digits as its factorization.

102213322993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 102213322993 in words is "one hundred two billion, two hundred thirteen million, three hundred twenty-two thousand, nine hundred ninety-three".