Search a number
-
+
10331210232181 is a prime number
BaseRepresentation
bin1001011001010110110000…
…0111011011000101110101
31100120122122210201100101201
42112111230013123011311
52323231304304412211
633550031545452501
72114256010021336
oct226255407330565
940518583640351
1010331210232181
113323494929733
1211aa3114a1131
1359c2c8cb6b27
1427a06731028d
1512db125d80c1
hex9656c1db175

10331210232181 has 2 divisors, whose sum is σ = 10331210232182. Its totient is φ = 10331210232180.

The previous prime is 10331210232163. The next prime is 10331210232281. The reversal of 10331210232181 is 18123201213301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6084041562225 + 4247168669956 = 2466585^2 + 2060866^2 .

It is a cyclic number.

It is not a de Polignac number, because 10331210232181 - 25 = 10331210232149 is a prime.

It is a super-2 number, since 2×103312102321812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10331210232131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5165605116090 + 5165605116091.

It is an arithmetic number, because the mean of its divisors is an integer number (5165605116091).

Almost surely, 210331210232181 is an apocalyptic number.

It is an amenable number.

10331210232181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10331210232181 is an equidigital number, since it uses as much as digits as its factorization.

10331210232181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 10331210232181 its reverse (18123201213301), we get a palindrome (28454411445482).

The spelling of 10331210232181 in words is "ten trillion, three hundred thirty-one billion, two hundred ten million, two hundred thirty-two thousand, one hundred eighty-one".