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122099993 is a prime number
BaseRepresentation
bin1110100011100…
…01100100011001
322111202022200222
413101301210121
5222224144433
620041005425
73011555441
oct721614431
9274668628
10122099993
1162a16594
1234a83875
131c3b0a22
1412305121
15aabcb98
hex7471919

122099993 has 2 divisors, whose sum is σ = 122099994. Its totient is φ = 122099992.

The previous prime is 122099983. The next prime is 122100007. The reversal of 122099993 is 399990221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107599129 + 14500864 = 10373^2 + 3808^2 .

It is an emirp because it is prime and its reverse (399990221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122099993 - 24 = 122099977 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122099903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61049996 + 61049997.

It is an arithmetic number, because the mean of its divisors is an integer number (61049997).

Almost surely, 2122099993 is an apocalyptic number.

It is an amenable number.

122099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122099993 is an equidigital number, since it uses as much as digits as its factorization.

122099993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 44.

The square root of 122099993 is about 11049.8865605037. The cubic root of 122099993 is about 496.1030301599.

The spelling of 122099993 in words is "one hundred twenty-two million, ninety-nine thousand, nine hundred ninety-three".