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123424000031 is a prime number
BaseRepresentation
bin111001011110010100…
…1001100100000011111
3102210120122000211112102
41302330221030200133
54010233021000111
6132411124355315
711626363455533
oct1627451144037
9383518024472
10123424000031
11483866a3012
121bb06545b3b
13b83c6941a7
145d8bd9dbc3
15332589e13b
hex1cbca4c81f

123424000031 has 2 divisors, whose sum is σ = 123424000032. Its totient is φ = 123424000030.

The previous prime is 123423999973. The next prime is 123424000111. The reversal of 123424000031 is 130000424321.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 123424000031 - 214 = 123423983647 is a prime.

It is a super-2 number, since 2×1234240000312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123423999967 and 123424000012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123424006031) 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, 61712000015 + 61712000016.

It is an arithmetic number, because the mean of its divisors is an integer number (61712000016).

Almost surely, 2123424000031 is an apocalyptic number.

123424000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

123424000031 is an equidigital number, since it uses as much as digits as its factorization.

123424000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 123424000031 its reverse (130000424321), we get a palindrome (253424424352).

The spelling of 123424000031 in words is "one hundred twenty-three billion, four hundred twenty-four million, thirty-one", and thus it is an aban number.