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130313871960 = 23351719231271151
BaseRepresentation
bin111100101011101001…
…1111110001001011000
3110110100210112121000020
41321113103332021120
54113340322400320
6135510530310440
712262204430646
oct1712723761130
9413323477006
10130313871960
11502a1868848
1221309a28420
13c399c1b69c
146443050196
1535ca6b2940
hex1e574fe258

130313871960 has 512 divisors, whose sum is σ = 458647142400. Its totient is φ = 29378764800.

The previous prime is 130313871949. The next prime is 130313871967. The reversal of 130313871960 is 69178313031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130313871967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113217385 + ... + 113218535.

It is an arithmetic number, because the mean of its divisors is an integer number (895795200).

Almost surely, 2130313871960 is an apocalyptic number.

130313871960 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 130313871960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229323571200).

130313871960 is an abundant number, since it is smaller than the sum of its proper divisors (328333270440).

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

130313871960 is a wasteful number, since it uses less digits than its factorization.

130313871960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 130313871960 in words is "one hundred thirty billion, three hundred thirteen million, eight hundred seventy-one thousand, nine hundred sixty".