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213113301002320 = 24535359531267681
BaseRepresentation
bin110000011101001101001110…
…100110100110100001010000
31000221120102200100221212010011
4300131031032212212201100
5210413122020024033240
62033130522055444304
762613633160605145
oct6035151646464120
91027512610855104
10213113301002320
11619a4930622044
121ba9a951386694
1391bb6622b77b4
143a8aa4b3ca3cc
15199887551d6ea
hexc1d34e9a6850

213113301002320 has 80 divisors (see below), whose sum is σ = 496975935982032. Its totient is φ = 84989486039040.

The previous prime is 213113301002297. The next prime is 213113301002347. The reversal of 213113301002320 is 23200103311312.

It can be written as a sum of positive squares in 8 ways, for example, as 14650460518464 + 198462840483856 = 3827592^2 + 14087684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 213113301002291 and 213113301002300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167478880 + ... + 168746560.

Almost surely, 2213113301002320 is an apocalyptic number.

213113301002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213113301002320 is an abundant number, since it is smaller than the sum of its proper divisors (283862634979712).

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

213113301002320 is a wasteful number, since it uses less digits than its factorization.

213113301002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274000 (or 1273994 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213113301002320 its reverse (23200103311312), we get a palindrome (236313404313632).

The spelling of 213113301002320 in words is "two hundred thirteen trillion, one hundred thirteen billion, three hundred one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1765 2824 3530 5648 5953 7060 11906 14120 23812 28240 29765 47624 59530 95248 119060 238120 476240 1267681 2101409 2535362 4202818 5070724 6338405 8405636 10141448 10507045 12676810 16811272 20282896 21014090 25353620 33622544 42028180 50707240 84056360 101414480 168112720 447491393 894982786 1789965572 2237456965 3579931144 4474913930 7159862288 7546504993 8949827860 15093009986 17899655720 30186019972 35799311440 37732524965 60372039944 75465049930 120744079888 150930099860 301860199720 603720399440 2663916262529 5327832525058 10655665050116 13319581312645 21311330100232 26639162625290 42622660200464 53278325250580 106556650501160 213113301002320