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133033434361 is a prime number
BaseRepresentation
bin111101111100101101…
…0010001110011111001
3110201101022212200021121
41323321122101303321
54134423024344421
6141040440105241
712416456351212
oct1737132216371
9421338780247
10133033434361
11514679a6283
1221948765221
13c7114942c9
1466202d6409
1536d930dd41
hex1ef9691cf9

133033434361 has 2 divisors, whose sum is σ = 133033434362. Its totient is φ = 133033434360.

The previous prime is 133033434343. The next prime is 133033434367. The reversal of 133033434361 is 163434330331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131900438761 + 1132995600 = 363181^2 + 33660^2 .

It is a cyclic number.

It is not a de Polignac number, because 133033434361 - 223 = 133025045753 is a prime.

It is not a weakly prime, because it can be changed into another prime (133033434367) 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, 66516717180 + 66516717181.

It is an arithmetic number, because the mean of its divisors is an integer number (66516717181).

Almost surely, 2133033434361 is an apocalyptic number.

It is an amenable number.

133033434361 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033434361 is an equidigital number, since it uses as much as digits as its factorization.

133033434361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 34.

Adding to 133033434361 its reverse (163434330331), we get a palindrome (296467764692).

The spelling of 133033434361 in words is "one hundred thirty-three billion, thirty-three million, four hundred thirty-four thousand, three hundred sixty-one".