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133106502241 is a prime number
BaseRepresentation
bin111101111110111000…
…1000000101001100001
3110201120102100220120101
41323331301000221201
54140100231032431
6141052010142401
712421334413126
oct1737561005141
9421512326511
10133106502241
11514a5172259
1221969121a01
13c72366833b
146629cb674d
1536e0943961
hex1efdc40a61

133106502241 has 2 divisors, whose sum is σ = 133106502242. Its totient is φ = 133106502240.

The previous prime is 133106502229. The next prime is 133106502257. The reversal of 133106502241 is 142205601331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120225160225 + 12881342016 = 346735^2 + 113496^2 .

It is an emirp because it is prime and its reverse (142205601331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133106502241 - 25 = 133106502209 is a prime.

It is not a weakly prime, because it can be changed into another prime (133106572241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66553251120 + 66553251121.

It is an arithmetic number, because the mean of its divisors is an integer number (66553251121).

Almost surely, 2133106502241 is an apocalyptic number.

It is an amenable number.

133106502241 is a deficient number, since it is larger than the sum of its proper divisors (1).

133106502241 is an equidigital number, since it uses as much as digits as its factorization.

133106502241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 133106502241 in words is "one hundred thirty-three billion, one hundred six million, five hundred two thousand, two hundred forty-one".