Search a number
-
+
2453302149121 is a prime number
BaseRepresentation
bin100011101100110100001…
…101000000000000000001
322200112101211210221121001
4203230310031000000001
5310143330322232441
65115010443132001
7342150054124525
oct43546415000001
98615354727531
102453302149121
1186649211879a
12337571b14001
1314a464ac7a05
1486a51b5bd85
1543c390e5731
hex23b34340001

2453302149121 has 2 divisors, whose sum is σ = 2453302149122. Its totient is φ = 2453302149120.

The previous prime is 2453302149071. The next prime is 2453302149161. The reversal of 2453302149121 is 1219412033542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2324133789121 + 129168360000 = 1524511^2 + 359400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2453302149121 - 27 = 2453302148993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2453302149161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1226651074560 + 1226651074561.

It is an arithmetic number, because the mean of its divisors is an integer number (1226651074561).

Almost surely, 22453302149121 is an apocalyptic number.

It is an amenable number.

2453302149121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2453302149121 is an equidigital number, since it uses as much as digits as its factorization.

2453302149121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 2453302149121 in words is "two trillion, four hundred fifty-three billion, three hundred two million, one hundred forty-nine thousand, one hundred twenty-one".