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130221013320 = 23325361725037
BaseRepresentation
bin111100101000111000…
…1101111100101001000
3110110010022210212220100
41321101301233211020
54113143034411240
6135453412125400
712256666231026
oct1712161574510
9413108725810
10130221013320
1150254404772
12212a2906860
13c383908548
14643499b716
1535c246de30
hex1e51c6f948

130221013320 has 48 divisors (see below), whose sum is σ = 423218294460. Its totient is φ = 34725603456.

The previous prime is 130221013289. The next prime is 130221013333. The reversal of 130221013320 is 23310122031.

130221013320 is a `hidden beast` number, since 1 + 302 + 210 + 133 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119385452484 + 10835560836 = 345522^2 + 104094^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130221013293 and 130221013302.

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, 180862159 + ... + 180862878.

Almost surely, 2130221013320 is an apocalyptic number.

130221013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130221013320 is an abundant number, since it is smaller than the sum of its proper divisors (292997281140).

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

130221013320 is a wasteful number, since it uses less digits than its factorization.

130221013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361725054 (or 361725047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130221013320 its reverse (23310122031), we get a palindrome (153531135351).

The spelling of 130221013320 in words is "one hundred thirty billion, two hundred twenty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 361725037 723450074 1085175111 1446900148 1808625185 2170350222 2893800296 3255525333 3617250370 4340700444 5425875555 6511050666 7234500740 8681400888 10851751110 13022101332 14469001480 16277626665 21703502220 26044202664 32555253330 43407004440 65110506660 130221013320