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231213141312132 = 223741472715270869
BaseRepresentation
bin110100100100100110000001…
…001001111100001010000100
31010022122202112100201202022010
4310210212001021330022010
5220301144003133442012
62135425503433134220
766462412120021320
oct6444460111741204
91108582470652263
10231213141312132
1167742a40613831
1221b227a525a370
139c023c8734165
144114ac092a980
151bae5b75bac3c
hexd2498127c284

231213141312132 has 192 divisors, whose sum is σ = 647425431797760. Its totient is φ = 62845613337600.

The previous prime is 231213141312071. The next prime is 231213141312161.

231213141312132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231213141312132.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41230794 + ... + 46501662.

It is an arithmetic number, because the mean of its divisors is an integer number (3372007457280).

Almost surely, 2231213141312132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231213141312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323712715898880).

231213141312132 is an abundant number, since it is smaller than the sum of its proper divisors (416212290485628).

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

231213141312132 is a wasteful number, since it uses less digits than its factorization.

231213141312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271242 (or 5271240 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 231213141312132 in words is "two hundred thirty-one trillion, two hundred thirteen billion, one hundred forty-one million, three hundred twelve thousand, one hundred thirty-two".