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133431434161 is a prime number
BaseRepresentation
bin111110001000100100…
…0100001101110110001
3110202102001210011100221
41330101020201232301
54141231421343121
6141144134413041
712432361322404
oct1742110415661
9422361704327
10133431434161
1151651625433
1221a39b01181
13c775a8534c
14665b0d9d3b
15370e229b41
hex1f11221bb1

133431434161 has 2 divisors, whose sum is σ = 133431434162. Its totient is φ = 133431434160.

The previous prime is 133431434119. The next prime is 133431434189. The reversal of 133431434161 is 161434134331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89281440000 + 44149994161 = 298800^2 + 210119^2 .

It is a cyclic number.

It is not a de Polignac number, because 133431434161 - 27 = 133431434033 is a prime.

It is a super-2 number, since 2×1334314341612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133431435161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66715717080 + 66715717081.

It is an arithmetic number, because the mean of its divisors is an integer number (66715717081).

Almost surely, 2133431434161 is an apocalyptic number.

It is an amenable number.

133431434161 is a deficient number, since it is larger than the sum of its proper divisors (1).

133431434161 is an equidigital number, since it uses as much as digits as its factorization.

133431434161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 34.

Adding to 133431434161 its reverse (161434134331), we get a palindrome (294865568492).

The spelling of 133431434161 in words is "one hundred thirty-three billion, four hundred thirty-one million, four hundred thirty-four thousand, one hundred sixty-one".