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13232322103000 = 235371113431731777
BaseRepresentation
bin1100000010001110001111…
…0110111100011011011000
31201211222221021112011121211
43000203203312330123120
53213244243424244000
644050502253312504
72534001164034010
oct300434366743330
951758837464554
1013232322103000
114241883952310
121598619a95734
1374ca58483210
1433a63aad4c40
1517e30a5207ba
hexc08e3dbc6d8

13232322103000 has 1024 divisors, whose sum is σ = 42810352865280. Its totient is φ = 3694989312000.

The previous prime is 13232322102997. The next prime is 13232322103009. The reversal of 13232322103000 is 30122323231.

13232322103000 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232322103009) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7446438112 + ... + 7446439888.

It is an arithmetic number, because the mean of its divisors is an integer number (41806985220).

Almost surely, 213232322103000 is an apocalyptic number.

13232322103000 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 13232322103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405176432640).

13232322103000 is an abundant number, since it is smaller than the sum of its proper divisors (29578030762280).

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

13232322103000 is a wasteful number, since it uses less digits than its factorization.

13232322103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13232322103000 its reverse (30122323231), we get a palindrome (13262444426231).

The spelling of 13232322103000 in words is "thirteen trillion, two hundred thirty-two billion, three hundred twenty-two million, one hundred three thousand".