Search a number
-
+
1023444400241 is a prime number
BaseRepresentation
bin11101110010010100000…
…10100011100001110001
310121211200121012100121002
432321022002203201301
5113232003231301431
62102055221211345
7133640622603104
oct16711202434161
93554617170532
101023444400241
1136504975688a
12146425560b55
1375683443913
143776bd7673b
151b94eaaa3cb
hexee4a0a3871

1023444400241 has 2 divisors, whose sum is σ = 1023444400242. Its totient is φ = 1023444400240.

The previous prime is 1023444400219. The next prime is 1023444400271. The reversal of 1023444400241 is 1420044443201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 517917712225 + 505526688016 = 719665^2 + 711004^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023444400241 - 210 = 1023444399217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1023444400211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511722200120 + 511722200121.

It is an arithmetic number, because the mean of its divisors is an integer number (511722200121).

Almost surely, 21023444400241 is an apocalyptic number.

It is an amenable number.

1023444400241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023444400241 is an equidigital number, since it uses as much as digits as its factorization.

1023444400241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1023444400241 its reverse (1420044443201), we get a palindrome (2443488843442).

The spelling of 1023444400241 in words is "one trillion, twenty-three billion, four hundred forty-four million, four hundred thousand, two hundred forty-one".