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2033400401 is a prime number
BaseRepresentation
bin111100100110011…
…0011101001010001
312020201012102221222
41321030303221101
513131022303101
6533434454425
7101250422024
oct17114635121
95221172858
102033400401
1195388a8aa
12488b94415
13265370006
141540b11bb
15bd7ae01b
hex79333a51

2033400401 has 2 divisors, whose sum is σ = 2033400402. Its totient is φ = 2033400400.

The previous prime is 2033400389. The next prime is 2033400403. The reversal of 2033400401 is 1040043302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1583960401 + 449440000 = 39799^2 + 21200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033400401 - 222 = 2029206097 is a prime.

Together with 2033400403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2033400401.

It is not a weakly prime, because it can be changed into another prime (2033400403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016700200 + 1016700201.

It is an arithmetic number, because the mean of its divisors is an integer number (1016700201).

Almost surely, 22033400401 is an apocalyptic number.

It is an amenable number.

2033400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033400401 is an equidigital number, since it uses as much as digits as its factorization.

2033400401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2033400401 is about 45093.2411897836. The cubic root of 2033400401 is about 1266.8960097730.

Adding to 2033400401 its reverse (1040043302), we get a palindrome (3073443703).

The spelling of 2033400401 in words is "two billion, thirty-three million, four hundred thousand, four hundred one".