Search a number
-
+
102013223102281 is a prime number
BaseRepresentation
bin10111001100011111001101…
…111011001110011101001001
3111101012100221220202120111201
4113030133031323032131021
5101332341040103233111
61000544121104424201
730326132524152031
oct2714371573163511
9441170856676451
10102013223102281
112a560623a64467
12b536a1a018061
1344bca6206479a
141b296759048c1
15bbd8e85bd6c1
hex5cc7cdece749

102013223102281 has 2 divisors, whose sum is σ = 102013223102282. Its totient is φ = 102013223102280.

The previous prime is 102013223102171. The next prime is 102013223102291. The reversal of 102013223102281 is 182201322310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53101593223056 + 48911629879225 = 7287084^2 + 6993685^2 .

It is an emirp because it is prime and its reverse (182201322310201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102013223102281 - 225 = 102013189547849 is a prime.

It is a super-2 number, since 2×1020132231022812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102013223102291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006611551140 + 51006611551141.

It is an arithmetic number, because the mean of its divisors is an integer number (51006611551141).

Almost surely, 2102013223102281 is an apocalyptic number.

It is an amenable number.

102013223102281 is a deficient number, since it is larger than the sum of its proper divisors (1).

102013223102281 is an equidigital number, since it uses as much as digits as its factorization.

102013223102281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 102013223102281 its reverse (182201322310201), we get a palindrome (284214545412482).

The spelling of 102013223102281 in words is "one hundred two trillion, thirteen billion, two hundred twenty-three million, one hundred two thousand, two hundred eighty-one".