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130311405 = 32571921773
BaseRepresentation
bin1111100010001…
…10010011101101
3100002012111122100
413301012103231
5231324431110
620533005313
73141425430
oct761062355
9302174570
10130311405
1167614984
1237783839
1320cc7453
1413441817
15b690bc0
hex7c464ed

130311405 has 48 divisors (see below), whose sum is σ = 271739520. Its totient is φ = 56433024.

The previous prime is 130311403. The next prime is 130311421. The reversal of 130311405 is 504113031.

It is not a de Polignac number, because 130311405 - 21 = 130311403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4902 + ... + 16871.

It is an arithmetic number, because the mean of its divisors is an integer number (5661240).

Almost surely, 2130311405 is an apocalyptic number.

130311405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130311405 is an abundant number, since it is smaller than the sum of its proper divisors (141428115).

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

130311405 is a wasteful number, since it uses less digits than its factorization.

130311405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21810 (or 21807 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130311405 is about 11415.4020954148. The cubic root of 130311405 is about 506.9838702664.

Adding to 130311405 its reverse (504113031), we get a palindrome (634424436).

The spelling of 130311405 in words is "one hundred thirty million, three hundred eleven thousand, four hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 21773 65319 108865 152411 195957 326595 413687 457233 762055 979785 1241061 1371699 2068435 2286165 2895809 3723183 6205305 6858495 8687427 14479045 18615915 26062281 43437135 130311405