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13022232000000 = 293562331761
BaseRepresentation
bin1011110101111111100110…
…0000110011011000000000
31201002220122201221010220220
42331133321200303120000
53201324012343000000
643410155241303040
72512553022443046
oct275377140633000
951086581833826
1013022232000000
114170774525413
121563967194a80
13735cb68b9ac2
143303ca918396
15178b113411a0
hexbd7f9833600

13022232000000 has 1120 divisors, whose sum is σ = 46770961324032. Its totient is φ = 3210240000000.

The previous prime is 13022231999989. The next prime is 13022232000007. The reversal of 13022232000000 is 23222031.

13022232000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022232000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17111999620 + ... + 17112000380.

Almost surely, 213022232000000 is an apocalyptic number.

13022232000000 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 13022232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385480662016).

13022232000000 is an abundant number, since it is smaller than the sum of its proper divisors (33748729324032).

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

13022232000000 is an frugal number, since it uses more digits than its factorization.

13022232000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13022232000000 its reverse (23222031), we get a palindrome (13022255222031).

The spelling of 13022232000000 in words is "thirteen trillion, twenty-two billion, two hundred thirty-two million", and thus it is an aban number.