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2133311233 is a prime number
BaseRepresentation
bin111111100100111…
…1011111100000001
312111200012102212011
41333021323330001
513332111424413
6551404132521
7103602563164
oct17711737401
95450172764
102133311233
119a5220339
124b6537141
1327cc82051
1416347badb
15c744733d
hex7f27bf01

2133311233 has 2 divisors, whose sum is σ = 2133311234. Its totient is φ = 2133311232.

The previous prime is 2133311231. The next prime is 2133311251. The reversal of 2133311233 is 3321133312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1879482609 + 253828624 = 43353^2 + 15932^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133311233 - 21 = 2133311231 is a prime.

Together with 2133311231, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2133311231) 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, 1066655616 + 1066655617.

It is an arithmetic number, because the mean of its divisors is an integer number (1066655617).

Almost surely, 22133311233 is an apocalyptic number.

It is an amenable number.

2133311233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133311233 is an equidigital number, since it uses as much as digits as its factorization.

2133311233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 22.

The square root of 2133311233 is about 46187.7822914242. The cubic root of 2133311233 is about 1287.3147341177.

Adding to 2133311233 its reverse (3321133312), we get a palindrome (5454444545).

The spelling of 2133311233 in words is "two billion, one hundred thirty-three million, three hundred eleven thousand, two hundred thirty-three".