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130120320 = 27351161101
BaseRepresentation
bin1111100000101…
…11101010000000
3100001211210112010
413300113222000
5231302322240
620524532520
73140001351
oct760275200
9301753463
10130120320
11674a4360
12376b1140
1320c5b495
14133d1d28
15b654280
hex7c17a80

130120320 has 256 divisors, whose sum is σ = 464434560. Its totient is φ = 30720000.

The previous prime is 130120307. The next prime is 130120327. The reversal of 130120320 is 23021031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130120296 and 130120305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288270 + ... + 1288370.

Almost surely, 2130120320 is an apocalyptic number.

130120320 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 130120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232217280).

130120320 is an abundant number, since it is smaller than the sum of its proper divisors (334314240).

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

130120320 is a wasteful number, since it uses less digits than its factorization.

130120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130120320 is about 11407.0294117268. The cubic root of 130120320 is about 506.7359400512.

Adding to 130120320 its reverse (23021031), we get a palindrome (153141351).

The spelling of 130120320 in words is "one hundred thirty million, one hundred twenty thousand, three hundred twenty".