Search a number
-
+
13320222321320 = 235294710111321407
BaseRepresentation
bin1100000111010101101100…
…0111101010101010101000
31202011101211012021220210022
43001311123013222222220
53221214303403240240
644155120424140012
72543232345413045
oct301653307525250
952141735256708
1013320222321320
114276090274342
1215b166b607608
13758126262b15
143409b8ba21cc
151817523799b5
hexc1d5b1eaaa8

13320222321320 has 256 divisors, whose sum is σ = 32261616230400. Its totient is φ = 4940710297600.

The previous prime is 13320222321187. The next prime is 13320222321353. The reversal of 13320222321320 is 2312322202331.

13320222321320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13320222321320.

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, 622226057 + ... + 622247463.

It is an arithmetic number, because the mean of its divisors is an integer number (126021938400).

Almost surely, 213320222321320 is an apocalyptic number.

13320222321320 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 13320222321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130808115200).

13320222321320 is an abundant number, since it is smaller than the sum of its proper divisors (18941393909080).

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

13320222321320 is a wasteful number, since it uses less digits than its factorization.

13320222321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21708 (or 21704 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13320222321320 its reverse (2312322202331), we get a palindrome (15632544523651).

The spelling of 13320222321320 in words is "thirteen trillion, three hundred twenty billion, two hundred twenty-two million, three hundred twenty-one thousand, three hundred twenty".