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13120420631 = 378316725583
BaseRepresentation
bin11000011100000100…
…11011101100010111
31020212101101102111212
430032002123230113
5203332311430011
610005532052035
7643064510123
oct141602335427
936771342455
1013120420631
11562315423a
12266200401b
131311315206
148c6754583
1551bcdc08b
hex30e09bb17

13120420631 has 16 divisors (see below), whose sum is σ = 13719573504. Its totient is φ = 12535998624.

The previous prime is 13120420589. The next prime is 13120420637. The reversal of 13120420631 is 13602402131.

13120420631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13120420631 - 210 = 13120419607 is a prime.

It is a super-2 number, since 2×131204206312 (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 = 13120420597 and 13120420606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120420637) 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 15 ways as a sum of consecutive naturals, for example, 500066 + ... + 525648.

It is an arithmetic number, because the mean of its divisors is an integer number (857473344).

Almost surely, 213120420631 is an apocalyptic number.

13120420631 is a deficient number, since it is larger than the sum of its proper divisors (599152873).

13120420631 is a wasteful number, since it uses less digits than its factorization.

13120420631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25870.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13120420631 its reverse (13602402131), we get a palindrome (26722822762).

The spelling of 13120420631 in words is "thirteen billion, one hundred twenty million, four hundred twenty thousand, six hundred thirty-one".

Divisors: 1 37 83 167 3071 6179 13861 25583 512857 946571 2123389 4272361 78565393 158077357 354605963 13120420631