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2133313069 is a prime number
BaseRepresentation
bin111111100100111…
…1100011000101101
312111200012112101011
41333021330120231
513332112004234
6551404145221
7103602601426
oct17711743055
95450175334
102133313069
119a5221758
124b6538211
1327cc82b34
1416347c64d
15c7447b64
hex7f27c62d

2133313069 has 2 divisors, whose sum is σ = 2133313070. Its totient is φ = 2133313068.

The previous prime is 2133312991. The next prime is 2133313087. The reversal of 2133313069 is 9603133312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1395919044 + 737394025 = 37362^2 + 27155^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133313069 - 225 = 2099758637 is a prime.

It is a super-2 number, since 2×21333130692 = 9102049300732397522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2133313069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133313099) 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, 1066656534 + 1066656535.

It is an arithmetic number, because the mean of its divisors is an integer number (1066656535).

Almost surely, 22133313069 is an apocalyptic number.

It is an amenable number.

2133313069 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133313069 is an equidigital number, since it uses as much as digits as its factorization.

2133313069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The square root of 2133313069 is about 46187.8021668059. The cubic root of 2133313069 is about 1287.3151034199.

The spelling of 2133313069 in words is "two billion, one hundred thirty-three million, three hundred thirteen thousand, sixty-nine".