Search a number
-
+
130322310303000 = 23353596710989317
BaseRepresentation
bin11101101000011100000111…
…000000110000110100011000
3122002102200122212201010200110
4131220130013000300310120
5114040200042414144000
61141101124242204320
736310322224113234
oct3550340700606430
9562380585633613
10130322310303000
1138585421741372
12127494060536a0
1357944586002ca
1424278c23775c4
15100eeb072c850
hex768707030d18

130322310303000 has 256 divisors, whose sum is σ = 419668867238400. Its totient is φ = 33653681318400.

The previous prime is 130322310302999. The next prime is 130322310303049. The reversal of 130322310303000 is 303013223031.

It is a super-2 number, since 2×1303223103030002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6364342 + ... + 17353658.

It is an arithmetic number, because the mean of its divisors is an integer number (1639331512650).

Almost surely, 2130322310303000 is an apocalyptic number.

130322310303000 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 130322310303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209834433619200).

130322310303000 is an abundant number, since it is smaller than the sum of its proper divisors (289346556935400).

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

130322310303000 is a wasteful number, since it uses less digits than its factorization.

130322310303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10989467 (or 10989453 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130322310303000 its reverse (303013223031), we get a palindrome (130625323526031).

The spelling of 130322310303000 in words is "one hundred thirty trillion, three hundred twenty-two billion, three hundred ten million, three hundred three thousand".