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10312433421300 = 22325254164332939
BaseRepresentation
bin1001011000010000110011…
…1011100100101111110100
31100111212012012211112011200
42112010030323210233310
52322424330423440200
633533244433332500
72113022466533433
oct226041473445764
940455165745150
1010312433421300
11331652990480a
1211a6751107130
1359a5c5b6254a
142791a567311a
1512d3b3e38800
hex9610cee4bf4

10312433421300 has 216 divisors, whose sum is σ = 32434845599520. Its totient is φ = 2740547001600.

The previous prime is 10312433421287. The next prime is 10312433421337. The reversal of 10312433421300 is 312433421301.

It is a happy number.

10312433421300 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 4 + 334 + 21 + 300 = 666.

10312433421300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313060231 + ... + 313093169.

It is an arithmetic number, because the mean of its divisors is an integer number (150161322220).

Almost surely, 210312433421300 is an apocalyptic number.

10312433421300 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 10312433421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217422799760).

10312433421300 is an abundant number, since it is smaller than the sum of its proper divisors (22122412178220).

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

10312433421300 is a wasteful number, since it uses less digits than its factorization.

10312433421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34143 (or 34133 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10312433421300 its reverse (312433421301), we get a palindrome (10624866842601).

Subtracting from 10312433421300 its reverse (312433421301), we obtain a palindrome (9999999999999).

The spelling of 10312433421300 in words is "ten trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred".