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122344993 is a prime number
BaseRepresentation
bin1110100101011…
…01011000100001
322112012202210001
413102231120201
5222310014433
620050140001
73013625641
oct722553041
9275182701
10122344993
1163073671
1234b81601
131c4683b4
141236a521
15ab1a57d
hex74ad621

122344993 has 2 divisors, whose sum is σ = 122344994. Its totient is φ = 122344992.

The previous prime is 122344951. The next prime is 122345017. The reversal of 122344993 is 399443221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70677649 + 51667344 = 8407^2 + 7188^2 .

It is an emirp because it is prime and its reverse (399443221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122344993 - 217 = 122213921 is a prime.

It is not a weakly prime, because it can be changed into another prime (122344093) 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, 61172496 + 61172497.

It is an arithmetic number, because the mean of its divisors is an integer number (61172497).

Almost surely, 2122344993 is an apocalyptic number.

It is an amenable number.

122344993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122344993 is an equidigital number, since it uses as much as digits as its factorization.

122344993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 37.

The square root of 122344993 is about 11060.9670915341. The cubic root of 122344993 is about 496.4346273323.

The spelling of 122344993 in words is "one hundred twenty-two million, three hundred forty-four thousand, nine hundred ninety-three".