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130251220 = 225111813271
BaseRepresentation
bin1111100001101…
…11100111010100
3100002002110002021
413300313213110
5231321014340
620531422524
73141055111
oct760674724
9302073067
10130251220
1167583740
1237754a44
1320ca5c38
1413427908
15b67ce4a
hex7c379d4

130251220 has 48 divisors (see below), whose sum is σ = 300134016. Its totient is φ = 47088000.

The previous prime is 130251203. The next prime is 130251221. The reversal of 130251220 is 22152031.

It is a super-2 number, since 2×1302512202 = 33930760622976800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130251194 and 130251203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130251221) 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, 38185 + ... + 41455.

It is an arithmetic number, because the mean of its divisors is an integer number (6252792).

Almost surely, 2130251220 is an apocalyptic number.

130251220 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 130251220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150067008).

130251220 is an abundant number, since it is smaller than the sum of its proper divisors (169882796).

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

130251220 is a wasteful number, since it uses less digits than its factorization.

130251220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130251220 is about 11412.7656595586. The cubic root of 130251220 is about 506.9058072016.

The spelling of 130251220 in words is "one hundred thirty million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1810 1991 3271 3620 3982 6542 7964 9955 13084 16355 19910 32710 35981 39820 65420 71962 143924 179905 359810 592051 719620 1184102 2368204 2960255 5920510 6512561 11841020 13025122 26050244 32562805 65125610 130251220