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202300312312 = 23710943376541
BaseRepresentation
bin1011110001101000001…
…0011100101011111000
3201100011122201122202201
42330122002130223320
511303302334443222
6232534021435544
720421122165620
oct2743202345370
9640148648681
10202300312312
117888228595a
1233259b6bbb4
13160cca73517
149b117d1880
1553e03a8427
hex2f1a09caf8

202300312312 has 64 divisors (see below), whose sum is σ = 438493809600. Its totient is φ = 85705205760.

The previous prime is 202300312301. The next prime is 202300312339. The reversal of 202300312312 is 213213003202.

202300312312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202300312312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2604762 + ... + 2681302.

It is an arithmetic number, because the mean of its divisors is an integer number (6851465775).

Almost surely, 2202300312312 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 202300312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219246904800).

202300312312 is an abundant number, since it is smaller than the sum of its proper divisors (236193497288).

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

202300312312 is a wasteful number, since it uses less digits than its factorization.

202300312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77096 (or 77092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 202300312312 its reverse (213213003202), we get a palindrome (415513315514).

The spelling of 202300312312 in words is "two hundred two billion, three hundred million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 109 218 433 436 763 866 872 1526 1732 3031 3052 3464 6062 6104 12124 24248 47197 76541 94394 153082 188788 306164 330379 377576 535787 612328 660758 1071574 1321516 2143148 2643032 4286296 8342969 16685938 33142253 33371876 58400783 66284506 66743752 116801566 132569012 231995771 233603132 265138024 463991542 467206264 927983084 1855966168 3612505577 7225011154 14450022308 25287539039 28900044616 50575078078 101150156156 202300312312