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130403013012 = 22327349620629
BaseRepresentation
bin111100101110010100…
…0000001000110010100
3110110121000021102112200
41321130220001012110
54114031132404022
6135523433044500
712264336215256
oct1713450010624
9413530242480
10130403013012
1150338112838
1221333856730
13c3b252c67c
146450c15cd6
1535d341ebac
hex1e5ca01194

130403013012 has 36 divisors (see below), whose sum is σ = 334145322420. Its totient is φ = 42872222592.

The previous prime is 130403013001. The next prime is 130403013019. The reversal of 130403013012 is 210310304031.

130403013012 is a `hidden beast` number, since 130 + 403 + 0 + 130 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81382396176 + 49020616836 = 285276^2 + 221406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130403013019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24807687 + ... + 24812942.

Almost surely, 2130403013012 is an apocalyptic number.

130403013012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130403013012 is an abundant number, since it is smaller than the sum of its proper divisors (203742309408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130403013012 is a wasteful number, since it uses less digits than its factorization.

130403013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49620712 (or 49620707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130403013012 its reverse (210310304031), we get a palindrome (340713317043).

The spelling of 130403013012 in words is "one hundred thirty billion, four hundred three million, thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 49620629 99241258 148861887 198482516 297723774 446585661 595447548 893171322 1786342644 3622305917 7244611834 10866917751 14489223668 21733835502 32600753253 43467671004 65201506506 130403013012