Search a number
-
+
33310231122401 is a prime number
BaseRepresentation
bin1111001001011101001000…
…11111100101000111100001
311100221102112021112221010122
413210232210133211013201
513331223323131404101
6154502301532210025
710005404402600102
oct744564437450741
9140842467487118
1033310231122401
11a682876088792
12389b8b5009915
1315781ab61b31c
1483231c10c3a9
153cb71eee051b
hex1e4ba47e51e1

33310231122401 has 2 divisors, whose sum is σ = 33310231122402. Its totient is φ = 33310231122400.

The previous prime is 33310231122373. The next prime is 33310231122407. The reversal of 33310231122401 is 10422113201333.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32022006122401 + 1288225000000 = 5658799^2 + 1135000^2 .

It is a cyclic number.

It is not a de Polignac number, because 33310231122401 - 238 = 33035353215457 is a prime.

It is a super-2 number, since 2×333102311224012 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33310231122407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16655115561200 + 16655115561201.

It is an arithmetic number, because the mean of its divisors is an integer number (16655115561201).

Almost surely, 233310231122401 is an apocalyptic number.

It is an amenable number.

33310231122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

33310231122401 is an equidigital number, since it uses as much as digits as its factorization.

33310231122401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 33310231122401 its reverse (10422113201333), we get a palindrome (43732344323734).

The spelling of 33310231122401 in words is "thirty-three trillion, three hundred ten billion, two hundred thirty-one million, one hundred twenty-two thousand, four hundred one".