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201332120021311 = 432475507420691
BaseRepresentation
bin101101110001110001001001…
…011111101110100100111111
3222101212011101121110122200111
4231301301021133232210333
5202342111140211140221
61552110411000410451
760256523422550206
oct5561611137564477
9871764347418614
10201332120021311
11591725220419a4
121a6b761b776a27
1388456caa29296
1437a0752dd623d
15184219ccacbe1
hexb71c497ee93f

201332120021311 has 24 divisors (see below), whose sum is σ = 210547474447104. Its totient is φ = 192430528874640.

The previous prime is 201332120021299. The next prime is 201332120021363. The reversal of 201332120021311 is 113120021233102.

It is a de Polignac number, because none of the positive numbers 2k-201332120021311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332123021311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478364476 + ... + 478785166.

It is an arithmetic number, because the mean of its divisors is an integer number (8772811435296).

Almost surely, 2201332120021311 is an apocalyptic number.

201332120021311 is a deficient number, since it is larger than the sum of its proper divisors (9215354425793).

201332120021311 is an equidigital number, since it uses as much as digits as its factorization.

201332120021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426331 (or 426288 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 201332120021311 its reverse (113120021233102), we get a palindrome (314452141254413).

The spelling of 201332120021311 in words is "two hundred one trillion, three hundred thirty-two billion, one hundred twenty million, twenty-one thousand, three hundred eleven".

Divisors: 1 43 47 1849 2021 5507 86903 236801 258829 420691 10182443 11129647 18089713 19772477 478574821 777857659 850216511 2316745337 36559309973 99620049491 108887030839 4283662128113 4682142326077 201332120021311