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130330000320 = 26351343242863
BaseRepresentation
bin111100101100001000…
…1011111101111000000
3110110101220212222221220
41321120101133233000
54113403440002240
6135512304115040
712262461503262
oct1713021375700
9413356788856
10130330000320
11502aa984273
1221313305a80
13c3a03777b0
14644524bb32
1535cbceb5d0
hex1e5845fbc0

130330000320 has 224 divisors, whose sum is σ = 455993674752. Its totient is φ = 31335026688.

The previous prime is 130330000309. The next prime is 130330000321. The reversal of 130330000320 is 23000033031.

It is a super-2 number, since 2×1303300003202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130330000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130330000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415209 + ... + 658071.

It is an arithmetic number, because the mean of its divisors is an integer number (2035686048).

Almost surely, 2130330000320 is an apocalyptic number.

130330000320 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 130330000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227996837376).

130330000320 is an abundant number, since it is smaller than the sum of its proper divisors (325663674432).

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

130330000320 is a wasteful number, since it uses less digits than its factorization.

130330000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242939 (or 242929 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 130330000320 its reverse (23000033031), we get a palindrome (153330033351).

The spelling of 130330000320 in words is "one hundred thirty billion, three hundred thirty million, three hundred twenty", and thus it is an aban number.