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13123410031 = 71188997849
BaseRepresentation
bin11000011100011011…
…10101100001101111
31020212121000022012101
430032031311201233
5203334043110111
610010120115531
7643132100434
oct141615654157
936777008171
1013123410031
115624906216
122663005ba7
131311b20aa4
148c6cd1b8b
1551c1ccbc1
hex30e37586f

13123410031 has 8 divisors (see below), whose sum is σ = 13315428000. Its totient is φ = 12931591680.

The previous prime is 13123410007. The next prime is 13123410071. The reversal of 13123410031 is 13001432131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13123410031 is a prime.

It is a super-2 number, since 2×131234100312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13123409990 and 13123410008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123410071) 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 in 7 ways as a sum of consecutive naturals, for example, 85195 + ... + 183043.

It is an arithmetic number, because the mean of its divisors is an integer number (1664428500).

Almost surely, 213123410031 is an apocalyptic number.

13123410031 is a deficient number, since it is larger than the sum of its proper divisors (192017969).

13123410031 is an equidigital number, since it uses as much as digits as its factorization.

13123410031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99809.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13123410031 its reverse (13001432131), we get a palindrome (26124842162).

The spelling of 13123410031 in words is "thirteen billion, one hundred twenty-three million, four hundred ten thousand, thirty-one".

Divisors: 1 71 1889 97849 134119 6947279 184836761 13123410031