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213326266303314 = 23283344941400019
BaseRepresentation
bin110000100000010011100100…
…010100110000001101010010
31000222022210101021202001222200
4300200103210110300031102
5210430114143133201224
62033412422301144030
762635212514030413
oct6040234424601522
91028283337661880
10213326266303314
1161a77185a1882a
121bb14086b5b016
1392057717498b8
143a970913a380a
15199e18bd3d5c9
hexc204e4530352

213326266303314 has 48 divisors (see below), whose sum is σ = 467911306044000. Its totient is φ = 70231652935488.

The previous prime is 213326266303277. The next prime is 213326266303327. The reversal of 213326266303314 is 413303662623312.

213326266303314 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 6 + 2 + 6 + 630 + 3 + 3 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213326266303314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15547204 + ... + 25852815.

It is an arithmetic number, because the mean of its divisors is an integer number (9748152209250).

Almost surely, 2213326266303314 is an apocalyptic number.

213326266303314 is an abundant number, since it is smaller than the sum of its proper divisors (254585039740686).

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

213326266303314 is a wasteful number, since it uses less digits than its factorization.

213326266303314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41403559 (or 41403556 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 213326266303314 in words is "two hundred thirteen trillion, three hundred twenty-six billion, two hundred sixty-six million, three hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 83 166 249 498 747 1494 3449 6898 10347 20694 31041 62082 286267 572534 858801 1717602 2576403 5152806 41400019 82800038 124200057 248400114 372600171 745200342 3436201577 6872403154 10308604731 20617209462 30925814193 61851628386 142788665531 285577331062 428365996593 856731993186 1285097989779 2570195979558 11851459239073 23702918478146 35554377717219 71108755434438 106663133151657 213326266303314