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201324311329 is a prime number
BaseRepresentation
bin1011101101111111011…
…1010011001100100001
3201020122122012200010011
42323133313103030201
511244303010430304
6232253114404521
720355001260661
oct2733767231441
9636578180104
10201324311329
1178421363979
1233027130741
1315ca57b9a4b
149a5bd301a1
155384867c04
hex2edfdd3321

201324311329 has 2 divisors, whose sum is σ = 201324311330. Its totient is φ = 201324311328.

The previous prime is 201324311327. The next prime is 201324311369. The reversal of 201324311329 is 923113423102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199809000000 + 1515311329 = 447000^2 + 38927^2 .

It is a cyclic number.

It is not a de Polignac number, because 201324311329 - 21 = 201324311327 is a prime.

It is a super-2 number, since 2×2013243113292 (a number of 23 digits) contains 22 as substring.

Together with 201324311327, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 201324311329.

It is not a weakly prime, because it can be changed into another prime (201324311327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100662155664 + 100662155665.

It is an arithmetic number, because the mean of its divisors is an integer number (100662155665).

Almost surely, 2201324311329 is an apocalyptic number.

It is an amenable number.

201324311329 is a deficient number, since it is larger than the sum of its proper divisors (1).

201324311329 is an equidigital number, since it uses as much as digits as its factorization.

201324311329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 201324311329 in words is "two hundred one billion, three hundred twenty-four million, three hundred eleven thousand, three hundred twenty-nine".