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130331141300 = 22527317853581
BaseRepresentation
bin111100101100001010…
…1110110010010110100
3110110102000000222002102
41321120111312102310
54113404233010200
6135512344401232
712262504264613
oct1713025662264
9413360028072
10130331141300
1150300593528
1221313776218
13c3a0686c29
14644546787a
1535cbe746d5
hex1e585764b4

130331141300 has 36 divisors (see below), whose sum is σ = 286692819756. Its totient is φ = 51418310400.

The previous prime is 130331141287. The next prime is 130331141321. The reversal of 130331141300 is 3141133031.

It can be written as a sum of positive squares in 6 ways, for example, as 2536331044 + 127794810256 = 50362^2 + 357484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8919491 + ... + 8934090.

Almost surely, 2130331141300 is an apocalyptic number.

130331141300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130331141300 is an abundant number, since it is smaller than the sum of its proper divisors (156361678456).

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

130331141300 is a wasteful number, since it uses less digits than its factorization.

130331141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17853668 (or 17853661 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 130331141300 its reverse (3141133031), we get a palindrome (133472274331).

The spelling of 130331141300 in words is "one hundred thirty billion, three hundred thirty-one million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 17853581 35707162 71414324 89267905 178535810 357071620 446339525 892679050 1303311413 1785358100 2606622826 5213245652 6516557065 13033114130 26066228260 32582785325 65165570650 130331141300