Search a number
-
+
10121341033 is a prime number
BaseRepresentation
bin10010110110100011…
…10110100001101001
3222010101002101201201
421123101312201221
5131212030403113
64352155244201
7505546656616
oct113321664151
928111071651
1010121341033
114324262361
121b65749661
13c53b938bb
146c030b50d
153e387acdd
hex25b476869

10121341033 has 2 divisors, whose sum is σ = 10121341034. Its totient is φ = 10121341032.

The previous prime is 10121341031. The next prime is 10121341067. The reversal of 10121341033 is 33014312101.

10121341033 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., 9034122304 + 1087218729 = 95048^2 + 32973^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121341033 - 21 = 10121341031 is a prime.

Together with 10121341031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10121341033.

It is not a weakly prime, because it can be changed into another prime (10121341031) 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, 5060670516 + 5060670517.

It is an arithmetic number, because the mean of its divisors is an integer number (5060670517).

Almost surely, 210121341033 is an apocalyptic number.

It is an amenable number.

10121341033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121341033 is an equidigital number, since it uses as much as digits as its factorization.

10121341033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10121341033 its reverse (33014312101), we get a palindrome (43135653134).

The spelling of 10121341033 in words is "ten billion, one hundred twenty-one million, three hundred forty-one thousand, thirty-three".