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130022323201320 = 2335111036343150769
BaseRepresentation
bin11101100100000100101110…
…011000110010010100101000
3122001101000100021001102002220
4131210010232120302110220
5114020241204214420240
61140311233005354040
736246542243611164
oct3544045630622450
9561330307042086
10130022323201320
113847a180854840
12126bb244b68920
13577208b369554
142417184c31ca4
1510072a426a5d0
hex76412e632528

130022323201320 has 256 divisors, whose sum is σ = 429729526886400. Its totient is φ = 31209410211840.

The previous prime is 130022323201307. The next prime is 130022323201349. The reversal of 130022323201320 is 23102323220031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862318896 + ... + 862469664.

It is an arithmetic number, because the mean of its divisors is an integer number (1678630964400).

Almost surely, 2130022323201320 is an apocalyptic number.

130022323201320 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 130022323201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214864763443200).

130022323201320 is an abundant number, since it is smaller than the sum of its proper divisors (299707203685080).

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

130022323201320 is a wasteful number, since it uses less digits than its factorization.

130022323201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157240 (or 157236 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130022323201320 its reverse (23102323220031), we get a palindrome (153124646421351).

The spelling of 130022323201320 in words is "one hundred thirty trillion, twenty-two billion, three hundred twenty-three million, two hundred one thousand, three hundred twenty".