Search a number
-
+
3133431445153 is a prime number
BaseRepresentation
bin101101100110001111000…
…100010111011010100001
3102002112221020001222220011
4231212033010113122201
5402314231422221103
610355251210244521
7442245231553522
oct55461704273241
912075836058804
103133431445153
11aa89763a9399
12427343a26741
131996345ba249
14ab931dd6849
1556793971d6d
hex2d98f1176a1

3133431445153 has 2 divisors, whose sum is σ = 3133431445154. Its totient is φ = 3133431445152.

The previous prime is 3133431445127. The next prime is 3133431445169. The reversal of 3133431445153 is 3515441343313.

3133431445153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2061312018529 + 1072119426624 = 1435727^2 + 1035432^2 .

It is an emirp because it is prime and its reverse (3515441343313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133431445153 - 241 = 934408189601 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133431445453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566715722576 + 1566715722577.

It is an arithmetic number, because the mean of its divisors is an integer number (1566715722577).

Almost surely, 23133431445153 is an apocalyptic number.

It is an amenable number.

3133431445153 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133431445153 is an equidigital number, since it uses as much as digits as its factorization.

3133431445153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 388800, while the sum is 40.

Adding to 3133431445153 its reverse (3515441343313), we get a palindrome (6648872788466).

The spelling of 3133431445153 in words is "three trillion, one hundred thirty-three billion, four hundred thirty-one million, four hundred forty-five thousand, one hundred fifty-three".