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130033121300 = 22521300331213
BaseRepresentation
bin111100100011010010…
…0111111100000010100
3110102122020020222111122
41321012210333200110
54112301434340200
6135423021023112
712252225202625
oct1710644774024
9412566228448
10130033121300
1150168341705
122124b9b4a98
13c353a00434
146417a4ba4c
1535b0c07385
hex1e4693f814

130033121300 has 18 divisors (see below), whose sum is σ = 282171873438. Its totient is φ = 52013248480.

The previous prime is 130033121249. The next prime is 130033121321. The reversal of 130033121300 is 3121330031.

It can be written as a sum of positive squares in 3 ways, for example, as 155052304 + 129878068996 = 12452^2 + 360386^2 .

It is a super-3 number, since 3×1300331213003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 650165507 + ... + 650165706.

It is an arithmetic number, because the mean of its divisors is an integer number (15676215191).

Almost surely, 2130033121300 is an apocalyptic number.

130033121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130033121300 is an abundant number, since it is smaller than the sum of its proper divisors (152138752138).

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

130033121300 is a wasteful number, since it uses less digits than its factorization.

130033121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300331227 (or 1300331220 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 130033121300 its reverse (3121330031), we get a palindrome (133154451331).

The spelling of 130033121300 in words is "one hundred thirty billion, thirty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1300331213 2600662426 5201324852 6501656065 13003312130 26006624260 32508280325 65016560650 130033121300