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122267713 is a prime number
BaseRepresentation
bin1110100100110…
…10100001000001
322112001211202211
413102122201001
5222300031323
620044342121
73013154431
oct722324101
9275054684
10122267713
11630205a7
1234b44941
131c43c179
141234a2c1
15ab0270d
hex749a841

122267713 has 2 divisors, whose sum is σ = 122267714. Its totient is φ = 122267712.

The previous prime is 122267711. The next prime is 122267737. The reversal of 122267713 is 317762221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107081104 + 15186609 = 10348^2 + 3897^2 .

It is a cyclic number.

It is not a de Polignac number, because 122267713 - 21 = 122267711 is a prime.

Together with 122267711, it forms a pair of twin primes.

It is equal to p6963430 and since 122267713 and 6963430 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 (122267711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61133856 + 61133857.

It is an arithmetic number, because the mean of its divisors is an integer number (61133857).

Almost surely, 2122267713 is an apocalyptic number.

It is an amenable number.

122267713 is a deficient number, since it is larger than the sum of its proper divisors (1).

122267713 is an equidigital number, since it uses as much as digits as its factorization.

122267713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 31.

The square root of 122267713 is about 11057.4731742835. The cubic root of 122267713 is about 496.3300799437.

The spelling of 122267713 in words is "one hundred twenty-two million, two hundred sixty-seven thousand, seven hundred thirteen".