Search a number
-
+
240104010001 is a prime number
BaseRepresentation
bin1101111110011101010…
…0000111000100010001
3211221202021001110220011
43133213110013010101
512413213111310001
6302145142114521
723230000260652
oct3374724070421
9757667043804
10240104010001
11929114aa519
123a64a41ba41
1319845aba4cb
14b89a405529
1563a4153d51
hex37e7507111

240104010001 has 2 divisors, whose sum is σ = 240104010002. Its totient is φ = 240104010000.

The previous prime is 240104009941. The next prime is 240104010011. The reversal of 240104010001 is 100010401042.

240104010001 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., 190793366401 + 49310643600 = 436799^2 + 222060^2 .

It is a cyclic number.

It is not a de Polignac number, because 240104010001 - 235 = 205744271633 is a prime.

It is not a weakly prime, because it can be changed into another prime (240104010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120052005000 + 120052005001.

It is an arithmetic number, because the mean of its divisors is an integer number (120052005001).

Almost surely, 2240104010001 is an apocalyptic number.

It is an amenable number.

240104010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

240104010001 is an equidigital number, since it uses as much as digits as its factorization.

240104010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 240104010001 its reverse (100010401042), we get a palindrome (340114411043).

The spelling of 240104010001 in words is "two hundred forty billion, one hundred four million, ten thousand, one".