Search a number
-
+
10010110977233 is a prime number
BaseRepresentation
bin1001000110101010100100…
…0110111110010011010001
31022102221211211211010002122
42101222221012332103101
52303001201402232413
633142325334224025
72052130611261113
oct221525106762321
938387754733078
1010010110977233
11320a29a757954
121158039ab5015
13577c45b30aa3
142686c5cdd3b3
151255bc923108
hex91aa91be4d1

10010110977233 has 2 divisors, whose sum is σ = 10010110977234. Its totient is φ = 10010110977232.

The previous prime is 10010110977157. The next prime is 10010110977239. The reversal of 10010110977233 is 33277901101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9658874584129 + 351236393104 = 3107873^2 + 592652^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010110977233 - 214 = 10010110960849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010110977193 and 10010110977202.

It is not a weakly prime, because it can be changed into another prime (10010110977239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005055488616 + 5005055488617.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055488617).

Almost surely, 210010110977233 is an apocalyptic number.

It is an amenable number.

10010110977233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010110977233 is an equidigital number, since it uses as much as digits as its factorization.

10010110977233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 35.

The spelling of 10010110977233 in words is "ten trillion, ten billion, one hundred ten million, nine hundred seventy-seven thousand, two hundred thirty-three".