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2133212017 is a prime number
BaseRepresentation
bin111111100100110…
…0011101101110001
312111200000101202111
41333021203231301
513332100241032
6551402045321
7103602001006
oct17711435561
95450011674
102133212017
119a5162842
124b64a9841
1327cc48b41
141634538ad
15c7427c47
hex7f263b71

2133212017 has 2 divisors, whose sum is σ = 2133212018. Its totient is φ = 2133212016.

The previous prime is 2133212009. The next prime is 2133212041. The reversal of 2133212017 is 7102123312.

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., 1673709921 + 459502096 = 40911^2 + 21436^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133212017 - 23 = 2133212009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2133212047) 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, 1066606008 + 1066606009.

It is an arithmetic number, because the mean of its divisors is an integer number (1066606009).

Almost surely, 22133212017 is an apocalyptic number.

It is an amenable number.

2133212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133212017 is an equidigital number, since it uses as much as digits as its factorization.

2133212017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2133212017 is about 46186.7082286668. The cubic root of 2133212017 is about 1287.2947770049.

Adding to 2133212017 its reverse (7102123312), we get a palindrome (9235335329).

The spelling of 2133212017 in words is "two billion, one hundred thirty-three million, two hundred twelve thousand, seventeen".