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102166622473 is a prime number
BaseRepresentation
bin101111100100110011…
…0101111000100001001
3100202201011112011112111
41133021212233010021
53133214123404343
6114533521142321
710244532651046
oct1371146570411
9322634464474
10102166622473
113a368438693
121797348a9a1
139832655986
144d32ad01cd
1529ce561c9d
hex17c99af109

102166622473 has 2 divisors, whose sum is σ = 102166622474. Its totient is φ = 102166622472.

The previous prime is 102166622431. The next prime is 102166622489. The reversal of 102166622473 is 374226661201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101100469369 + 1066153104 = 317963^2 + 32652^2 .

It is a cyclic number.

It is not a de Polignac number, because 102166622473 - 221 = 102164525321 is a prime.

It is not a weakly prime, because it can be changed into another prime (102166622773) 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, 51083311236 + 51083311237.

It is an arithmetic number, because the mean of its divisors is an integer number (51083311237).

Almost surely, 2102166622473 is an apocalyptic number.

It is an amenable number.

102166622473 is a deficient number, since it is larger than the sum of its proper divisors (1).

102166622473 is an equidigital number, since it uses as much as digits as its factorization.

102166622473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 102166622473 in words is "one hundred two billion, one hundred sixty-six million, six hundred twenty-two thousand, four hundred seventy-three".