Search a number
-
+
13022330211200 = 2752103178322159
BaseRepresentation
bin1011110101111111111101…
…0111011100101110000000
31201002220220120201210100202
42331133333113130232000
53201324213013224300
643410213110304332
72512555324305062
oct275377727345600
951086816653322
1013022330211200
114170814a049a2
1215639940580a8
1373600105533b
143303d99a1732
15178b19c90ad5
hexbd7ff5dcb80

13022330211200 has 192 divisors, whose sum is σ = 32501231692800. Its totient is φ = 5155234191360.

The previous prime is 13022330211181. The next prime is 13022330211217. The reversal of 13022330211200 is 211203322031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587665721 + ... + 587687879.

It is an arithmetic number, because the mean of its divisors is an integer number (169277248400).

Almost surely, 213022330211200 is an apocalyptic number.

13022330211200 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 13022330211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250615846400).

13022330211200 is an abundant number, since it is smaller than the sum of its proper divisors (19478901481600).

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

13022330211200 is a wasteful number, since it uses less digits than its factorization.

13022330211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24069 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13022330211200 its reverse (211203322031), we get a palindrome (13233533533231).

The spelling of 13022330211200 in words is "thirteen trillion, twenty-two billion, three hundred thirty million, two hundred eleven thousand, two hundred".