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123013222301 is a prime number
BaseRepresentation
bin111001010010000101…
…0001100111110011101
3102202112000002011102102
41302210022030332131
54003412341103201
6132302252134445
711613245065034
oct1624412147635
9382460064372
10123013222301
1148195836692
121ba10a67425
13b7a554b048
145d4d5d171b
1532ee7ac26b
hex1ca428cf9d

123013222301 has 2 divisors, whose sum is σ = 123013222302. Its totient is φ = 123013222300.

The previous prime is 123013222231. The next prime is 123013222303. The reversal of 123013222301 is 103222310321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93531988900 + 29481233401 = 305830^2 + 171701^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013222301 - 210 = 123013221277 is a prime.

Together with 123013222303, 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 (123013222303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506611150 + 61506611151.

It is an arithmetic number, because the mean of its divisors is an integer number (61506611151).

Almost surely, 2123013222301 is an apocalyptic number.

It is an amenable number.

123013222301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013222301 is an equidigital number, since it uses as much as digits as its factorization.

123013222301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 123013222301 its reverse (103222310321), we get a palindrome (226235532622).

The spelling of 123013222301 in words is "one hundred twenty-three billion, thirteen million, two hundred twenty-two thousand, three hundred one".