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130120120 = 23513376763
BaseRepresentation
bin1111100000101…
…11100110111000
3100001211210020201
413300113212320
5231302320440
620524531544
73140000644
oct760274670
9301753221
10130120120
11674a4199
12376b0bb4
1320c5b370
14133d1c24
15b65419a
hex7c179b8

130120120 has 64 divisors (see below), whose sum is σ = 323860320. Its totient is φ = 46738944.

The previous prime is 130120103. The next prime is 130120121. The reversal of 130120120 is 21021031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130120097 and 130120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120121) 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, 15859 + ... + 22621.

Almost surely, 2130120120 is an apocalyptic number.

130120120 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 130120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161930160).

130120120 is an abundant number, since it is smaller than the sum of its proper divisors (193740200).

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

130120120 is a wasteful number, since it uses less digits than its factorization.

130120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 130120120 is about 11407.0206451992. The cubic root of 130120120 is about 506.7356804268.

Adding to 130120120 its reverse (21021031), we get a palindrome (151141151).

The spelling of 130120120 in words is "one hundred thirty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 6763 9620 13526 19240 27052 33815 54104 67630 87919 135260 175838 250231 270520 351676 439595 500462 703352 879190 1000924 1251155 1758380 2001848 2502310 3253003 3516760 5004620 6506006 10009240 13012012 16265015 26024024 32530030 65060060 130120120