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201332120021312 = 267716329606389
BaseRepresentation
bin101101110001110001001001…
…011111101110100101000000
3222101212011101121110122200112
4231301301021133232211000
5202342111140211140222
61552110411000410452
760256523422550210
oct5561611137564500
9871764347418615
10201332120021312
11591725220419a5
121a6b761b776a28
1388456caa29297
1437a0752dd6240
15184219ccacbe2
hexb71c497ee940

201332120021312 has 56 divisors (see below), whose sum is σ = 463023366641280. Its totient is φ = 85069909854720.

The previous prime is 201332120021299. The next prime is 201332120021363. The reversal of 201332120021312 is 213120021233102.

201332120021312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×2013321200213123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3164771387 + ... + 3164835002.

Almost surely, 2201332120021312 is an apocalyptic number.

It is an amenable number.

201332120021312 is an abundant number, since it is smaller than the sum of its proper divisors (261691246619968).

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

201332120021312 is an equidigital number, since it uses as much as digits as its factorization.

201332120021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329606479 (or 6329606469 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 201332120021312 its reverse (213120021233102), we get a palindrome (414452141254414).

The spelling of 201332120021312 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred twenty million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3976 4544 7952 15904 31808 6329606389 12659212778 25318425556 44307244723 50636851112 88614489446 101273702224 177228978892 202547404448 354457957784 405094808896 449402053619 708915915568 898804107238 1417831831136 1797608214476 2835663662272 3145814375333 3595216428952 6291628750666 7190432857904 12583257501332 14380865715808 25166515002664 28761731431616 50333030005328 100666060010656 201332120021312