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3211132020997 is a prime number
BaseRepresentation
bin101110101110100110011…
…000100010100100000101
3102100222111022102012221111
4232232212120202210011
5410102344244132442
610455101303245021
7450665562552565
oct56564630424405
912328438365844
103211132020997
11102891934802a
1243a409749771
131a3a6821c044
14b15c3612da5
15587e0134b17
hex2eba6622905

3211132020997 has 2 divisors, whose sum is σ = 3211132020998. Its totient is φ = 3211132020996.

The previous prime is 3211132020959. The next prime is 3211132021039. The reversal of 3211132020997 is 7990202311123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3203523645921 + 7608375076 = 1789839^2 + 87226^2 .

It is an emirp because it is prime and its reverse (7990202311123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3211132020997 - 223 = 3211123632389 is a prime.

It is a super-3 number, since 3×32111320209973 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3211132020947) 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 as a sum of consecutive naturals, namely, 1605566010498 + 1605566010499.

It is an arithmetic number, because the mean of its divisors is an integer number (1605566010499).

Almost surely, 23211132020997 is an apocalyptic number.

It is an amenable number.

3211132020997 is a deficient number, since it is larger than the sum of its proper divisors (1).

3211132020997 is an equidigital number, since it uses as much as digits as its factorization.

3211132020997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 3211132020997 in words is "three trillion, two hundred eleven billion, one hundred thirty-two million, twenty thousand, nine hundred ninety-seven".