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231231142442300 = 2252711133895938307
BaseRepresentation
bin110100100100110110110010…
…000110110011010100111100
31010022201110222220000220121212
4310210312302012303110330
5220301442334431123200
62135442041555543552
766463620161061350
oct6444666206632474
91108643886026555
10231231142442300
116774a6387a8310
1221b261898babb8
139c04006c6bc80
14411590b56d460
151baecbcae9035
hexd24db21b353c

231231142442300 has 288 divisors, whose sum is σ = 675439304117760. Its totient is φ = 66357006566400.

The previous prime is 231231142442291. The next prime is 231231142442303. The reversal of 231231142442300 is 3244241132132.

It is a happy number.

231231142442300 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 not an unprimeable number, because it can be changed into a prime (231231142442303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35969747 + ... + 41908053.

It is an arithmetic number, because the mean of its divisors is an integer number (2345275361520).

Almost surely, 2231231142442300 is an apocalyptic number.

231231142442300 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 231231142442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337719652058880).

231231142442300 is an abundant number, since it is smaller than the sum of its proper divisors (444208161675460).

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

231231142442300 is a wasteful number, since it uses less digits than its factorization.

231231142442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938741 (or 5938734 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 231231142442300 its reverse (3244241132132), we get a palindrome (234475383574432).

The spelling of 231231142442300 in words is "two hundred thirty-one trillion, two hundred thirty-one billion, one hundred forty-two million, four hundred forty-two thousand, three hundred".