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2133055021 is a prime number
BaseRepresentation
bin111111100100011…
…1101011000101101
312111122201102101211
41333020331120231
513332030230041
6551354434421
7103600445206
oct17710753055
95448642354
102133055021
119a5065899
124b6432a11
1327cbc2546
141634125ad
15c73e6481
hex7f23d62d

2133055021 has 2 divisors, whose sum is σ = 2133055022. Its totient is φ = 2133055020.

The previous prime is 2133054967. The next prime is 2133055027. The reversal of 2133055021 is 1205503312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1096536996 + 1036518025 = 33114^2 + 32195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133055021 - 29 = 2133054509 is a prime.

It is a super-2 number, since 2×21330550212 = 9099847445226620882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133054983 and 2133055001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133055027) 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, 1066527510 + 1066527511.

It is an arithmetic number, because the mean of its divisors is an integer number (1066527511).

Almost surely, 22133055021 is an apocalyptic number.

It is an amenable number.

2133055021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133055021 is an equidigital number, since it uses as much as digits as its factorization.

2133055021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2133055021 is about 46185.0086175157. The cubic root of 2133055021 is about 1287.2631962889.

Adding to 2133055021 its reverse (1205503312), we get a palindrome (3338558333).

The spelling of 2133055021 in words is "two billion, one hundred thirty-three million, fifty-five thousand, twenty-one".