Search a number
-
+
210122023301 is a prime number
BaseRepresentation
bin1100001110110000111…
…1111010000110000101
3202002100202122202010022
43003230033322012011
511420312214221201
6240310112104525
721116006505011
oct3035417720605
9662322582108
10210122023301
118112644a113
1234881535145
1316a78391488
14a254529541
1556ebdd741b
hex30ec3fa185

210122023301 has 2 divisors, whose sum is σ = 210122023302. Its totient is φ = 210122023300.

The previous prime is 210122023219. The next prime is 210122023339. The reversal of 210122023301 is 103320221012.

210122023301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176063320801 + 34058702500 = 419599^2 + 184550^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122023301 - 214 = 210122006917 is a prime.

It is a super-2 number, since 2×2101220233012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210122023301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210122023361) 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, 105061011650 + 105061011651.

It is an arithmetic number, because the mean of its divisors is an integer number (105061011651).

Almost surely, 2210122023301 is an apocalyptic number.

It is an amenable number.

210122023301 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122023301 is an equidigital number, since it uses as much as digits as its factorization.

210122023301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 210122023301 its reverse (103320221012), we get a palindrome (313442244313).

The spelling of 210122023301 in words is "two hundred ten billion, one hundred twenty-two million, twenty-three thousand, three hundred one".