Search a number
-
+
11678337001 is a prime number
BaseRepresentation
bin10101110000001010…
…10100011111101001
31010010212211222200001
422320011110133221
5142404123241001
65210455143001
7562254140512
oct127005243751
933125758601
1011678337001
114a53131491
12231b074a61
1311416206a6
147cb009a09
154853d3001
hex2b81547e9

11678337001 has 2 divisors, whose sum is σ = 11678337002. Its totient is φ = 11678337000.

The previous prime is 11678336977. The next prime is 11678337031. The reversal of 11678337001 is 10073387611.

It is a happy number.

11678337001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11518440976 + 159896025 = 107324^2 + 12645^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11678337001 is a prime.

It is not a weakly prime, because it can be changed into another prime (11678337031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5839168500 + 5839168501.

It is an arithmetic number, because the mean of its divisors is an integer number (5839168501).

Almost surely, 211678337001 is an apocalyptic number.

It is an amenable number.

11678337001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11678337001 is an equidigital number, since it uses as much as digits as its factorization.

11678337001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 11678337001 in words is "eleven billion, six hundred seventy-eight million, three hundred thirty-seven thousand, one".