Search a number
-
+
2032414401221 is a prime number
BaseRepresentation
bin11101100100110101010…
…101101010001011000101
321012022000110021001011122
4131210311111222023011
5231244341041314341
64153402302043325
7266560060240361
oct35446525521305
97168013231148
102032414401221
11713a3aa43226
12289a8b579545
1311986abb8039
14705258262a1
1537d03a7494b
hex1d93556a2c5

2032414401221 has 2 divisors, whose sum is σ = 2032414401222. Its totient is φ = 2032414401220.

The previous prime is 2032414401203. The next prime is 2032414401223. The reversal of 2032414401221 is 1221044142302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2015576484100 + 16837917121 = 1419710^2 + 129761^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032414401221 - 226 = 2032347292357 is a prime.

Together with 2032414401223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2032414401223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016207200610 + 1016207200611.

It is an arithmetic number, because the mean of its divisors is an integer number (1016207200611).

Almost surely, 22032414401221 is an apocalyptic number.

It is an amenable number.

2032414401221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2032414401221 is an equidigital number, since it uses as much as digits as its factorization.

2032414401221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2032414401221 its reverse (1221044142302), we get a palindrome (3253458543523).

The spelling of 2032414401221 in words is "two trillion, thirty-two billion, four hundred fourteen million, four hundred one thousand, two hundred twenty-one".