Search a number
-
+
10033312301 is a prime number
BaseRepresentation
bin10010101100000100…
…00011001000101101
3221220020110002000022
421112002003020231
5131022011443201
64335332411525
7503430514235
oct112602031055
927806402008
1010033312301
1142895a8041
121b40176ba5
13c3b881cac
146b2754cc5
153dac8d41b
hex25608322d

10033312301 has 2 divisors, whose sum is σ = 10033312302. Its totient is φ = 10033312300.

The previous prime is 10033312291. The next prime is 10033312307. The reversal of 10033312301 is 10321333001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10026016900 + 7295401 = 100130^2 + 2701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033312301 - 222 = 10029117997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10033312301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033312307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016656150 + 5016656151.

It is an arithmetic number, because the mean of its divisors is an integer number (5016656151).

Almost surely, 210033312301 is an apocalyptic number.

It is an amenable number.

10033312301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033312301 is an equidigital number, since it uses as much as digits as its factorization.

10033312301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10033312301 its reverse (10321333001), we get a palindrome (20354645302).

The spelling of 10033312301 in words is "ten billion, thirty-three million, three hundred twelve thousand, three hundred one".