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123042013 is a prime number
BaseRepresentation
bin1110101010101…
…11100011011101
322120112011220121
413111113203131
5222444321023
620113114541
73022561033
oct725274335
9276464817
10123042013
11634aa316
1235258a51
131c650733
14124ac553
15ac06d5d
hex75578dd

123042013 has 2 divisors, whose sum is σ = 123042014. Its totient is φ = 123042012.

The previous prime is 123042001. The next prime is 123042037. The reversal of 123042013 is 310240321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95981209 + 27060804 = 9797^2 + 5202^2 .

It is a cyclic number.

It is not a de Polignac number, because 123042013 - 25 = 123041981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123046013) 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, 61521006 + 61521007.

It is an arithmetic number, because the mean of its divisors is an integer number (61521007).

Almost surely, 2123042013 is an apocalyptic number.

It is an amenable number.

123042013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123042013 is an equidigital number, since it uses as much as digits as its factorization.

123042013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 123042013 is about 11092.4304370142. The cubic root of 123042013 is about 497.3755998147.

Adding to 123042013 its reverse (310240321), we get a palindrome (433282334).

The spelling of 123042013 in words is "one hundred twenty-three million, forty-two thousand, thirteen".