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231233300112300 = 2235231313187142457
BaseRepresentation
bin110100100100111000110010…
…101101101010001110101100
31010022201200120021001220102120
4310210320302231222032230
5220302011244312043200
62135443040034152540
766464024511006423
oct6444706255521654
91108650507056376
10231233300112300
1167750545745762
1221b26690422750
139c0428bc9c395
144115a73d4c2ba
151baed972539a0
hexd24e32b6a3ac

231233300112300 has 288 divisors, whose sum is σ = 693209855729664. Its totient is φ = 59449268736000.

The previous prime is 231233300112257. The next prime is 231233300112317. The reversal of 231233300112300 is 3211003332132.

231233300112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2312333001123002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5446272672 + ... + 5446315128.

It is an arithmetic number, because the mean of its divisors is an integer number (2406978665728).

Almost surely, 2231233300112300 is an apocalyptic number.

231233300112300 is a gapful number since it is divisible by the number (20) 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 231233300112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346604927864832).

231233300112300 is an abundant number, since it is smaller than the sum of its proper divisors (461976555617364).

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

231233300112300 is a wasteful number, since it uses less digits than its factorization.

231233300112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44689 (or 44682 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 231233300112300 its reverse (3211003332132), we get a palindrome (234444303444432).

The spelling of 231233300112300 in words is "two hundred thirty-one trillion, two hundred thirty-three billion, three hundred million, one hundred twelve thousand, three hundred".