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33212123201 is a prime number
BaseRepresentation
bin11110111011100110…
…001100100001000001
310011201121110200001002
4132323212030201001
51021004300420301
623131335021345
72254012250345
oct367346144101
9104647420032
1033212123201
11130a3417804
12652a80a855
1331939b9a0a
141870cab625
15ce5b1e16b
hex7bb98c841

33212123201 has 2 divisors, whose sum is σ = 33212123202. Its totient is φ = 33212123200.

The previous prime is 33212123173. The next prime is 33212123227. The reversal of 33212123201 is 10232121233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26479100176 + 6733023025 = 162724^2 + 82055^2 .

It is a cyclic number.

It is not a de Polignac number, because 33212123201 - 26 = 33212123137 is a prime.

It is a super-2 number, since 2×332121232012 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33212123281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606061600 + 16606061601.

It is an arithmetic number, because the mean of its divisors is an integer number (16606061601).

Almost surely, 233212123201 is an apocalyptic number.

It is an amenable number.

33212123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

33212123201 is an equidigital number, since it uses as much as digits as its factorization.

33212123201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 33212123201 its reverse (10232121233), we get a palindrome (43444244434).

The spelling of 33212123201 in words is "thirty-three billion, two hundred twelve million, one hundred twenty-three thousand, two hundred one".