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130251756180 = 2235713155315361
BaseRepresentation
bin111100101001110011…
…1000001001010010100
3110110012110122210011210
41321103213001022110
54113223422144210
6135500431101420
712260521442250
oct1712347011224
9413173583153
10130251756180
115026a7a2297
12212b1071870
13c38a0b06a0
146438ac1260
1535c4ee2e20
hex1e539c1294

130251756180 has 192 divisors, whose sum is σ = 449185863168. Its totient is φ = 27462205440.

The previous prime is 130251756179. The next prime is 130251756211. The reversal of 130251756180 is 81657152031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8471700 + ... + 8487060.

It is an arithmetic number, because the mean of its divisors is an integer number (2339509704).

Almost surely, 2130251756180 is an apocalyptic number.

130251756180 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 130251756180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224592931584).

130251756180 is an abundant number, since it is smaller than the sum of its proper divisors (318934106988).

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

130251756180 is a wasteful number, since it uses less digits than its factorization.

130251756180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16946 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 130251756180 in words is "one hundred thirty billion, two hundred fifty-one million, seven hundred fifty-six thousand, one hundred eighty".