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122029993 is a prime number
BaseRepresentation
bin1110100011000…
…00011110101001
322111121202200101
413101200132221
5222214424433
620035305401
73011144401
oct721403651
9274552611
10122029993
1162978a38
1234a4b261
131c387bc7
14122c7801
15aaa707d
hex74607a9

122029993 has 2 divisors, whose sum is σ = 122029994. Its totient is φ = 122029992.

The previous prime is 122029991. The next prime is 122029997. The reversal of 122029993 is 399920221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78641424 + 43388569 = 8868^2 + 6587^2 .

It is a cyclic number.

It is not a de Polignac number, because 122029993 - 21 = 122029991 is a prime.

Together with 122029991, it forms a pair of twin primes.

It is equal to p6950683 and since 122029993 and 6950683 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (122029991) 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, 61014996 + 61014997.

It is an arithmetic number, because the mean of its divisors is an integer number (61014997).

Almost surely, 2122029993 is an apocalyptic number.

It is an amenable number.

122029993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122029993 is an equidigital number, since it uses as much as digits as its factorization.

122029993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 122029993 is about 11046.7186530662. The cubic root of 122029993 is about 496.0082066475.

It can be divided in two parts, 1220 and 29993, that added together give a palindrome (31213).

The spelling of 122029993 in words is "one hundred twenty-two million, twenty-nine thousand, nine hundred ninety-three".