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130321220 = 22523491577
BaseRepresentation
bin1111100010010…
…00101101000100
3100002020000002212
413301020231010
5231330234340
620533122552
73141466151
oct761105504
9302200085
10130321220
1167621297
1237789458
1320ccba63
1413445228
15b693a65
hex7c48b44

130321220 has 48 divisors (see below), whose sum is σ = 286651008. Its totient is φ = 49674240.

The previous prime is 130321207. The next prime is 130321229. The reversal of 130321220 is 22123031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130321195 and 130321204.

It is not an unprimeable number, because it can be changed into a prime (130321229) 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, 225572 + ... + 226148.

It is an arithmetic number, because the mean of its divisors is an integer number (5971896).

Almost surely, 2130321220 is an apocalyptic number.

130321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143325504).

130321220 is an abundant number, since it is smaller than the sum of its proper divisors (156329788).

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

130321220 is a wasteful number, since it uses less digits than its factorization.

130321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130321220 is about 11415.8319889529. The cubic root of 130321220 is about 506.9965985505.

Adding to 130321220 its reverse (22123031), we get a palindrome (152444251).

The spelling of 130321220 in words is "one hundred thirty million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 491 577 982 1154 1964 2308 2455 2885 4910 5770 9820 11293 11540 13271 22586 26542 45172 53084 56465 66355 112930 132710 225860 265420 283307 566614 1133228 1416535 2833070 5666140 6516061 13032122 26064244 32580305 65160610 130321220