Search a number
-
+
13322020011300 = 2232527111337795059
BaseRepresentation
bin1100000111011100011001…
…0001010011110100100100
31202011120110110222000211200
43001313012101103310210
53221231444110330200
644200015043002500
72543325034466520
oct301670621236444
952146413860750
1013322020011300
114276922aa0440
1215b1a91669430
137583518245c0
14340b09836d80
1518180a0c8800
hexc1dc6453d24

13322020011300 has 1728 divisors, whose sum is σ = 58321200537600. Its totient is φ = 2454254899200.

The previous prime is 13322020011299. The next prime is 13322020011451. The reversal of 13322020011300 is 311002022331.

13322020011300 is a `hidden beast` number, since 1 + 332 + 2 + 0 + 20 + 0 + 11 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2633328171 + ... + 2633333229.

Almost surely, 213322020011300 is an apocalyptic number.

13322020011300 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 13322020011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29160600268800).

13322020011300 is an abundant number, since it is smaller than the sum of its proper divisors (44999180526300).

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

13322020011300 is a wasteful number, since it uses less digits than its factorization.

13322020011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13322020011300 its reverse (311002022331), we get a palindrome (13633022033631).

The spelling of 13322020011300 in words is "thirteen trillion, three hundred twenty-two billion, twenty million, eleven thousand, three hundred".