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130221332020 = 225133713536521
BaseRepresentation
bin111100101000111001…
…0111101011000110100
3110110010100102002002001
41321101302331120310
54113143130111040
6135453423025044
712260002026133
oct1712162753064
9413110362061
10130221332020
115025460215a
12212a2a3b184
13c3839ba620
146434a4191a
1535c24d359a
hex1e51cbd634

130221332020 has 48 divisors (see below), whose sum is σ = 302460047568. Its totient is φ = 46782213120.

The previous prime is 130221331997. The next prime is 130221332029. The reversal of 130221332020 is 20233122031.

It can be written as a sum of positive squares in 8 ways, for example, as 14072602384 + 116148729636 = 118628^2 + 340806^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221332029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6758641 + ... + 6777880.

It is an arithmetic number, because the mean of its divisors is an integer number (6301250991).

Almost surely, 2130221332020 is an apocalyptic number.

130221332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130221332020 is an abundant number, since it is smaller than the sum of its proper divisors (172238715548).

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

130221332020 is a wasteful number, since it uses less digits than its factorization.

130221332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13536580 (or 13536578 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 130221332020 its reverse (20233122031), we get a palindrome (150454454051).

It can be divided in two parts, 130221 and 332020, that added together give a triangular number (462241 = T961).

The spelling of 130221332020 in words is "one hundred thirty billion, two hundred twenty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 13536521 27073042 54146084 67682605 135365210 175974773 270730420 351949546 500851277 703899092 879873865 1001702554 1759747730 2003405108 2504256385 3519495460 5008512770 6511066601 10017025540 13022133202 26044266404 32555333005 65110666010 130221332020