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130364281320 = 233571323792423
BaseRepresentation
bin111100101101001010…
…0010001000111101000
3110110111022101122122120
41321122110101013220
54113441224000240
6135515530551240
712263356052010
oct1713224210750
9413438348576
10130364281320
1150318269079
1221322898520
13c3a74bb200
146449a12c40
1535ced1dad0
hex1e5a5111e8

130364281320 has 384 divisors, whose sum is σ = 485467084800. Its totient is φ = 27421535232.

The previous prime is 130364281279. The next prime is 130364281331. The reversal of 130364281320 is 23182463031.

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 95 ways as a sum of consecutive naturals, for example, 53801629 + ... + 53804051.

It is an arithmetic number, because the mean of its divisors is an integer number (1264237200).

Almost surely, 2130364281320 is an apocalyptic number.

130364281320 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 130364281320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242733542400).

130364281320 is an abundant number, since it is smaller than the sum of its proper divisors (355102803480).

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

130364281320 is a wasteful number, since it uses less digits than its factorization.

130364281320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 130364281320 in words is "one hundred thirty billion, three hundred sixty-four million, two hundred eighty-one thousand, three hundred twenty".