Search a number
-
+
10023331093 is a prime number
BaseRepresentation
bin10010101010110111…
…11110010100010101
3221212112122222100221
421111123332110111
5131011433043333
64334334434341
7503246623426
oct112533762425
927775588327
1010023331093
114283a00006
121b389629b1
13c39798b59
146b12b764d
153d9e6ad2d
hex2556fe515

10023331093 has 2 divisors, whose sum is σ = 10023331094. Its totient is φ = 10023331092.

The previous prime is 10023331057. The next prime is 10023331133. The reversal of 10023331093 is 39013332001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9765985329 + 257345764 = 98823^2 + 16042^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023331093 - 217 = 10023200021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10023332093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011665546 + 5011665547.

It is an arithmetic number, because the mean of its divisors is an integer number (5011665547).

Almost surely, 210023331093 is an apocalyptic number.

It is an amenable number.

10023331093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023331093 is an equidigital number, since it uses as much as digits as its factorization.

10023331093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 10023331093 its reverse (39013332001), we get a palindrome (49036663094).

The spelling of 10023331093 in words is "ten billion, twenty-three million, three hundred thirty-one thousand, ninety-three".