Search a number
-
+
10011011000033 is a prime number
BaseRepresentation
bin1001000110101101111011…
…0000010010011011100001
31022110001011120101000021102
42101223132300102123201
52303010022304000113
633142554525004145
72052162120323231
oct221533660223341
938401146330242
1010011011000033
11320a7117a534a
12115824b3b3655
1357805a434964
1426876d663cc1
15125621956758
hex91adec126e1

10011011000033 has 2 divisors, whose sum is σ = 10011011000034. Its totient is φ = 10011011000032.

The previous prime is 10011010999981. The next prime is 10011011000063. The reversal of 10011011000033 is 33000011011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6777858178624 + 3233152821409 = 2603432^2 + 1798097^2 .

It is an emirp because it is prime and its reverse (33000011011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011011000033 - 222 = 10011006805729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011010999978 and 10011011000023.

It is not a weakly prime, because it can be changed into another prime (10011011000063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005505500016 + 5005505500017.

It is an arithmetic number, because the mean of its divisors is an integer number (5005505500017).

Almost surely, 210011011000033 is an apocalyptic number.

It is an amenable number.

10011011000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011011000033 is an equidigital number, since it uses as much as digits as its factorization.

10011011000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10011011000033 its reverse (33000011011001), we get a palindrome (43011022011034).

The spelling of 10011011000033 in words is "ten trillion, eleven billion, eleven million, thirty-three", and thus it is an aban number and an uban number.