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130103280 = 24335293167
BaseRepresentation
bin1111100000100…
…11011111110000
3100001210221011000
413300103133300
5231301301110
620524322000
73136600566
oct760233760
9301727130
10130103280
116749257a
12376a3300
1320c537b8
14133c9a36
15b64e1c0
hex7c137f0

130103280 has 320 divisors, whose sum is σ = 485683200. Its totient is φ = 31933440.

The previous prime is 130103273. The next prime is 130103293. The reversal of 130103280 is 82301031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1941807 + ... + 1941873.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 2130103280 is an apocalyptic number.

130103280 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 130103280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

130103280 is an abundant number, since it is smaller than the sum of its proper divisors (355579920).

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

130103280 is a wasteful number, since it uses less digits than its factorization.

130103280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130103280 is about 11406.2824794058. The cubic root of 130103280 is about 506.7138190958.

It can be divided in two parts, 13010 and 3280, that added together give a triangular number (16290 = T180).

The spelling of 130103280 in words is "one hundred thirty million, one hundred three thousand, two hundred eighty".