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130141220 = 225114313757
BaseRepresentation
bin1111100000111…
…00110000100100
3100001212212012012
413300130300210
5231304004340
620525213352
73140116316
oct760346044
9301785165
10130141220
1167509030
1237701258
1320c67b51
14133d97b6
15b65a565
hex7c1cc24

130141220 has 48 divisors (see below), whose sum is σ = 305097408. Its totient is φ = 46220160.

The previous prime is 130141217. The next prime is 130141237. The reversal of 130141220 is 22141031.

130141220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130141195 and 130141204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2582 + ... + 16338.

It is an arithmetic number, because the mean of its divisors is an integer number (6356196).

Almost surely, 2130141220 is an apocalyptic number.

130141220 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 130141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152548704).

130141220 is an abundant number, since it is smaller than the sum of its proper divisors (174956188).

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

130141220 is a wasteful number, since it uses less digits than its factorization.

130141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13820 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130141220 is about 11407.9454767281. The cubic root of 130141220 is about 506.7630693373.

Adding to 130141220 its reverse (22141031), we get a palindrome (152282251).

The spelling of 130141220 in words is "one hundred thirty million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 13757 27514 55028 68785 137570 151327 275140 302654 591551 605308 756635 1183102 1513270 2366204 2957755 3026540 5915510 6507061 11831020 13014122 26028244 32535305 65070610 130141220