Search a number
-
+
22300202132953 is a prime number
BaseRepresentation
bin1010001001000001010111…
…01000000110010111011001
32220221212201102120210122121
411010200223220012113121
510410331303221223303
6115232323232421241
74461064540402243
oct504405350062731
986855642523577
1022300202132953
11711850a814648
122601b186a7821
13c59b914c9ab4
1457149aa29093
1528a12d14d9bd
hex14482ba065d9

22300202132953 has 2 divisors, whose sum is σ = 22300202132954. Its totient is φ = 22300202132952.

The previous prime is 22300202132939. The next prime is 22300202133091. The reversal of 22300202132953 is 35923120200322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22264553672089 + 35648460864 = 4718533^2 + 188808^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22300202132953 is a prime.

It is not a weakly prime, because it can be changed into another prime (22300202132753) 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, 11150101066476 + 11150101066477.

It is an arithmetic number, because the mean of its divisors is an integer number (11150101066477).

Almost surely, 222300202132953 is an apocalyptic number.

It is an amenable number.

22300202132953 is a deficient number, since it is larger than the sum of its proper divisors (1).

22300202132953 is an equidigital number, since it uses as much as digits as its factorization.

22300202132953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 22300202132953 in words is "twenty-two trillion, three hundred billion, two hundred two million, one hundred thirty-two thousand, nine hundred fifty-three".