Search a number
-
+
123129701 is a prime number
BaseRepresentation
bin1110101011011…
…00111101100101
322120200122012022
413111230331211
5223010122301
620115032525
73023404502
oct725547545
9276618168
10123129701
116355a192
123529b745
131c681616
14124d24a9
15ac22d1b
hex756cf65

123129701 has 2 divisors, whose sum is σ = 123129702. Its totient is φ = 123129700.

The previous prime is 123129689. The next prime is 123129703. The reversal of 123129701 is 107921321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117700801 + 5428900 = 10849^2 + 2330^2 .

It is a cyclic number.

It is not a de Polignac number, because 123129701 - 214 = 123113317 is a prime.

Together with 123129703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123129703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61564850 + 61564851.

It is an arithmetic number, because the mean of its divisors is an integer number (61564851).

Almost surely, 2123129701 is an apocalyptic number.

It is an amenable number.

123129701 is a deficient number, since it is larger than the sum of its proper divisors (1).

123129701 is an equidigital number, since it uses as much as digits as its factorization.

123129701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 123129701 is about 11096.3823384020. The cubic root of 123129701 is about 497.4937261736.

The spelling of 123129701 in words is "one hundred twenty-three million, one hundred twenty-nine thousand, seven hundred one".