Search a number
-
+
10000201033 is a prime number
BaseRepresentation
bin10010101000000111…
…01111010101001001
3221210221010211220001
421110003233111021
5130440022413113
64332151003001
7502546210024
oct112403572511
927727124801
1010000201033
114271942059
121b31069461
13c34a5ab24
146ac1b61bb
153d7dec7dd
hex2540ef549

10000201033 has 2 divisors, whose sum is σ = 10000201034. Its totient is φ = 10000201032.

The previous prime is 10000201031. The next prime is 10000201039. The reversal of 10000201033 is 33010200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7706557369 + 2293643664 = 87787^2 + 47892^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000201033 - 21 = 10000201031 is a prime.

It is a super-3 number, since 3×100002010333 (a number of 31 digits) contains 333 as substring.

Together with 10000201031, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10000201031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000100516 + 5000100517.

It is an arithmetic number, because the mean of its divisors is an integer number (5000100517).

Almost surely, 210000201033 is an apocalyptic number.

It is an amenable number.

10000201033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000201033 is an equidigital number, since it uses as much as digits as its factorization.

10000201033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10000201033 its reverse (33010200001), we get a palindrome (43010401034).

The spelling of 10000201033 in words is "ten billion, two hundred one thousand, thirty-three".