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130331001300 = 22352434436671
BaseRepresentation
bin111100101100001010…
…1010100000111010100
3110110101222202212001020
41321120111110013110
54113404214020200
6135512341401140
712262503142503
oct1713025240724
9413358685036
10130331001300
11503004a8325
12213137091b0
13c3a06382a6
14644542c83a
1535cbe47ea0
hex1e585541d4

130331001300 has 36 divisors (see below), whose sum is σ = 377091031296. Its totient is φ = 34754933600.

The previous prime is 130331001299. The next prime is 130331001301. The reversal of 130331001300 is 3100133031.

130331001300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130331001299) and next prime (130331001301).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130331001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331001301) 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 11 ways as a sum of consecutive naturals, for example, 217218036 + ... + 217218635.

Almost surely, 2130331001300 is an apocalyptic number.

130331001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130331001300 is an abundant number, since it is smaller than the sum of its proper divisors (246760029996).

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

130331001300 is a wasteful number, since it uses less digits than its factorization.

130331001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434436688 (or 434436681 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 130331001300 its reverse (3100133031), we get a palindrome (133431134331).

The spelling of 130331001300 in words is "one hundred thirty billion, three hundred thirty-one million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 434436671 868873342 1303310013 1737746684 2172183355 2606620026 4344366710 5213240052 6516550065 8688733420 10860916775 13033100130 21721833550 26066200260 32582750325 43443667100 65165500650 130331001300