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213320401311 = 32383130728499
BaseRepresentation
bin1100011010101011100…
…0110000000110011111
3202101121122222011221010
43012222320300012133
511443340010320221
6241555324310303
721261164331153
oct3065270600637
9671548864833
10213320401311
1182517894926
12354146a2393
1317167bb2944
14a479211063
155837ab4c76
hex31aae3019f

213320401311 has 32 divisors (see below), whose sum is σ = 300609792000. Its totient is φ = 134283943904.

The previous prime is 213320401309. The next prime is 213320401319. The reversal of 213320401311 is 113104023312.

213320401311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213320401311 - 21 = 213320401309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213320401319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7470940 + ... + 7499438.

It is an arithmetic number, because the mean of its divisors is an integer number (9394056000).

Almost surely, 2213320401311 is an apocalyptic number.

213320401311 is a deficient number, since it is larger than the sum of its proper divisors (87289390689).

213320401311 is a wasteful number, since it uses less digits than its factorization.

213320401311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29915.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213320401311 its reverse (113104023312), we get a palindrome (326424424623).

The spelling of 213320401311 in words is "two hundred thirteen billion, three hundred twenty million, four hundred one thousand, three hundred eleven".

Divisors: 1 3 23 69 83 249 1307 1909 3921 5727 28499 30061 85497 90183 108481 325443 655477 1966431 2365417 2495063 7096251 7485189 37248193 54404591 111744579 163213773 856708439 2570125317 3091600019 9274800057 71106800437 213320401311