Search a number
-
+
120200212193 is a prime number
BaseRepresentation
bin110111111110001111…
…1011010111011100001
3102111020221220102222212
41233330133122323201
53432132223242233
6131115203411505
711453446642265
oct1577437327341
9374227812885
10120200212193
1146a81982546
121b366983b95
13b447817119
145b63b820a5
1531d7852a48
hex1bfc7daee1

120200212193 has 2 divisors, whose sum is σ = 120200212194. Its totient is φ = 120200212192.

The previous prime is 120200212081. The next prime is 120200212199. The reversal of 120200212193 is 391212002021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111254268304 + 8945943889 = 333548^2 + 94583^2 .

It is a cyclic number.

It is not a de Polignac number, because 120200212193 - 224 = 120183434977 is a prime.

It is a super-2 number, since 2×1202002121932 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (120200212199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60100106096 + 60100106097.

It is an arithmetic number, because the mean of its divisors is an integer number (60100106097).

Almost surely, 2120200212193 is an apocalyptic number.

It is an amenable number.

120200212193 is a deficient number, since it is larger than the sum of its proper divisors (1).

120200212193 is an equidigital number, since it uses as much as digits as its factorization.

120200212193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 120200212193 in words is "one hundred twenty billion, two hundred million, two hundred twelve thousand, one hundred ninety-three".