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133122101249 is a prime number
BaseRepresentation
bin111101111111010110…
…0100001000000000001
3110201121111201102101102
41323332230201000001
54140113224214444
6141053324344145
712421614122234
oct1737654410001
9421544642342
10133122101249
1151502a56aa5
12219723a5055
13c72696a517
14662bdb741b
1536e1ec584e
hex1efeb21001

133122101249 has 2 divisors, whose sum is σ = 133122101250. Its totient is φ = 133122101248.

The previous prime is 133122101243. The next prime is 133122101311. The reversal of 133122101249 is 942101221331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117361056400 + 15761044849 = 342580^2 + 125543^2 .

It is a cyclic number.

It is not a de Polignac number, because 133122101249 - 216 = 133122035713 is a prime.

It is not a weakly prime, because it can be changed into another prime (133122101243) 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, 66561050624 + 66561050625.

It is an arithmetic number, because the mean of its divisors is an integer number (66561050625).

Almost surely, 2133122101249 is an apocalyptic number.

It is an amenable number.

133122101249 is a deficient number, since it is larger than the sum of its proper divisors (1).

133122101249 is an equidigital number, since it uses as much as digits as its factorization.

133122101249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 133122101249 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred one thousand, two hundred forty-nine".