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130321312320 = 26351495771579
BaseRepresentation
bin111100101011111000…
…0010110101001000000
3110110101022112121021010
41321113300112221000
54113344223443240
6135511354000520
712262324606653
oct1712760265100
9413338477233
10130321312320
11502a5a8a901
1221310416140
13c39b625174
14644402989a
1535cb182280
hex1e57c16a40

130321312320 has 224 divisors, whose sum is σ = 417533328000. Its totient is φ = 34437464064.

The previous prime is 130321312301. The next prime is 130321312327. The reversal of 130321312320 is 23213123031.

It is not an unprimeable number, because it can be changed into a prime (130321312327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 82533291 + ... + 82534869.

Almost surely, 2130321312320 is an apocalyptic number.

130321312320 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 130321312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208766664000).

130321312320 is an abundant number, since it is smaller than the sum of its proper divisors (287212015680).

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

130321312320 is a wasteful number, since it uses less digits than its factorization.

130321312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130321312320 its reverse (23213123031), we get a palindrome (153534435351).

The spelling of 130321312320 in words is "one hundred thirty billion, three hundred twenty-one million, three hundred twelve thousand, three hundred twenty".