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3211330012129 is a prime number
BaseRepresentation
bin101110101110110010001…
…011110100001111100001
3102101000000002222012201101
4232232302023310033201
5410103300440342004
610455133055034401
7451003515502321
oct56566213641741
912330002865641
103211330012129
111028a10088768
1243a463b0ba01
131a3a9a251b65
14b1601a31281
15588026e3ba4
hex2ebb22f43e1

3211330012129 has 2 divisors, whose sum is σ = 3211330012130. Its totient is φ = 3211330012128.

The previous prime is 3211330012097. The next prime is 3211330012183. The reversal of 3211330012129 is 9212100331123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3189267365904 + 22062646225 = 1785852^2 + 148535^2 .

It is an emirp because it is prime and its reverse (9212100331123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3211330012129 - 25 = 3211330012097 is a prime.

It is a super-2 number, since 2×32113300121292 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3211330012097 and 3211330012106.

It is not a weakly prime, because it can be changed into another prime (3211330010129) 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, 1605665006064 + 1605665006065.

It is an arithmetic number, because the mean of its divisors is an integer number (1605665006065).

Almost surely, 23211330012129 is an apocalyptic number.

It is an amenable number.

3211330012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3211330012129 is an equidigital number, since it uses as much as digits as its factorization.

3211330012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 3211330012129 in words is "three trillion, two hundred eleven billion, three hundred thirty million, twelve thousand, one hundred twenty-nine".