Search a number
-
+
210202122112033 is a prime number
BaseRepresentation
bin101111110010110101111110…
…110100011100110000100001
31000120021010102022021110100011
4233302311332310130300201
5210022422421230041113
62023021304412524521
762163413353406512
oct5762657664346041
91016233368243304
10210202122112033
1160a82245a79767
121b6aa6b5480741
139039c8a296c5c
1439c9ba09d8a09
151947c8d8da63d
hexbf2d7ed1cc21

210202122112033 has 2 divisors, whose sum is σ = 210202122112034. Its totient is φ = 210202122112032.

The previous prime is 210202122111967. The next prime is 210202122112049. The reversal of 210202122112033 is 330211221202012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193246364110864 + 16955758001169 = 13901308^2 + 4117737^2 .

It is a cyclic number.

It is not a de Polignac number, because 210202122112033 - 233 = 210193532177441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210202122111995 and 210202122112013.

It is not a weakly prime, because it can be changed into another prime (210202122112133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105101061056016 + 105101061056017.

It is an arithmetic number, because the mean of its divisors is an integer number (105101061056017).

Almost surely, 2210202122112033 is an apocalyptic number.

It is an amenable number.

210202122112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

210202122112033 is an equidigital number, since it uses as much as digits as its factorization.

210202122112033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 210202122112033 its reverse (330211221202012), we get a palindrome (540413343314045).

The spelling of 210202122112033 in words is "two hundred ten trillion, two hundred two billion, one hundred twenty-two million, one hundred twelve thousand, thirty-three".