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130013012 = 22252112893
BaseRepresentation
bin1111011111111…
…01011101010100
3100001122100022202
413233331131110
5231240404022
620522344032
73136043453
oct757753524
9301570282
10130013012
1167430778
123765b018
1320c2169c
14133a4b9a
15b632592
hex7bfd754

130013012 has 12 divisors (see below), whose sum is σ = 227630676. Its totient is φ = 64975680.

The previous prime is 130013011. The next prime is 130013017. The reversal of 130013012 is 210310031.

It can be written as a sum of positive squares in 2 ways, for example, as 25441936 + 104571076 = 5044^2 + 10226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130012984 and 130013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013011) 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 3 ways as a sum of consecutive naturals, for example, 3638 + ... + 16530.

It is an arithmetic number, because the mean of its divisors is an integer number (18969223).

Almost surely, 2130013012 is an apocalyptic number.

It is an amenable number.

130013012 is a deficient number, since it is larger than the sum of its proper divisors (97617664).

130013012 is a wasteful number, since it uses less digits than its factorization.

130013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 15416 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 130013012 is about 11402.3248506609. The cubic root of 130013012 is about 506.5966029233.

Adding to 130013012 its reverse (210310031), we get a palindrome (340323043).

The spelling of 130013012 in words is "one hundred thirty million, thirteen thousand, twelve".

Divisors: 1 2 4 2521 5042 10084 12893 25786 51572 32503253 65006506 130013012