Search a number
-
+
1000244413261 is a prime number
BaseRepresentation
bin11101000111000110011…
…01101000001101001101
310112121210202022220110001
432203203031220031031
5112342000032211021
62043301141044301
7132156663142102
oct16434315501515
93477722286401
101000244413261
11356223993225
12141a2b9b6691
1373426b03382
14365aaaaaaa9
151b042e45091
hexe8e336834d

1000244413261 has 2 divisors, whose sum is σ = 1000244413262. Its totient is φ = 1000244413260.

The previous prime is 1000244413187. The next prime is 1000244413279. The reversal of 1000244413261 is 1623144420001.

1000244413261 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., 616177900900 + 384066512361 = 784970^2 + 619731^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000244413261 - 227 = 1000110195533 is a prime.

It is a super-3 number, since 3×10002444132613 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000244413291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500122206630 + 500122206631.

It is an arithmetic number, because the mean of its divisors is an integer number (500122206631).

Almost surely, 21000244413261 is an apocalyptic number.

It is an amenable number.

1000244413261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000244413261 is an equidigital number, since it uses as much as digits as its factorization.

1000244413261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1000244413261 its reverse (1623144420001), we get a palindrome (2623388833262).

The spelling of 1000244413261 in words is "one trillion, two hundred forty-four million, four hundred thirteen thousand, two hundred sixty-one".