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13020000031 = 31487862423
BaseRepresentation
bin11000010000000110…
…10110111100011111
31020121101102112100101
430020003112330133
5203131110000111
65551543441531
7640435113523
oct141003267437
936541375311
1013020000031
1155814a5805
1226344562a7
1312c658513c
148b7293d83
155130a2bc1
hex3080d6f1f

13020000031 has 8 divisors (see below), whose sum is σ = 13467613184. Its totient is φ = 12574112760.

The previous prime is 13020000013. The next prime is 13020000043. The reversal of 13020000031 is 13000002031.

13020000031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 13020000031 - 25 = 13019999999 is a prime.

It is a super-2 number, since 2×130200000312 (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 = 13019999972 and 13020000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020000061) 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 in 7 ways as a sum of consecutive naturals, for example, 416115 + ... + 446308.

It is an arithmetic number, because the mean of its divisors is an integer number (1683451648).

Almost surely, 213020000031 is an apocalyptic number.

13020000031 is a deficient number, since it is larger than the sum of its proper divisors (447613153).

13020000031 is an equidigital number, since it uses as much as digits as its factorization.

13020000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862941.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 13020000031 its reverse (13000002031), we get a palindrome (26020002062).

The spelling of 13020000031 in words is "thirteen billion, twenty million, thirty-one", and thus it is an aban number and an uban number.

Divisors: 1 31 487 15097 862423 26735113 420000001 13020000031