Search a number
-
+
1023344131331 is a prime number
BaseRepresentation
bin11101110010001000001…
…00000011110100000011
310121211102121112011111202
432321010010003310003
5113231302044200311
62102041240131415
7133635264410654
oct16710404036403
93554377464452
101023344131331
11364aa80a1315
121463b7a66b6b
13756687378c2
143775c91552b
151b945da0e3b
hexee44103d03

1023344131331 has 2 divisors, whose sum is σ = 1023344131332. Its totient is φ = 1023344131330.

The previous prime is 1023344131297. The next prime is 1023344131349. The reversal of 1023344131331 is 1331314433201.

It is a strong prime.

It is an emirp because it is prime and its reverse (1331314433201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023344131331 - 218 = 1023343869187 is a prime.

It is a super-2 number, since 2×10233441313312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023344131294 and 1023344131303.

It is not a weakly prime, because it can be changed into another prime (1023344131391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511672065665 + 511672065666.

It is an arithmetic number, because the mean of its divisors is an integer number (511672065666).

Almost surely, 21023344131331 is an apocalyptic number.

1023344131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023344131331 is an equidigital number, since it uses as much as digits as its factorization.

1023344131331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 1023344131331 its reverse (1331314433201), we get a palindrome (2354658564532).

The spelling of 1023344131331 in words is "one trillion, twenty-three billion, three hundred forty-four million, one hundred thirty-one thousand, three hundred thirty-one".