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244120133129 is a prime number
BaseRepresentation
bin1110001101011010110…
…0011001111000001001
3212100010011002200010012
43203112230121320021
512444424223230004
6304051445401305
723431344615515
oct3432654317011
9770104080105
10244120133129
11945924a6244
123b38b409235
131a035b65822
14bb5b955145
15653ba1146e
hex38d6b19e09

244120133129 has 2 divisors, whose sum is σ = 244120133130. Its totient is φ = 244120133128.

The previous prime is 244120133111. The next prime is 244120133137. The reversal of 244120133129 is 921331021442.

244120133129 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., 244062676729 + 57456400 = 494027^2 + 7580^2 .

It is a cyclic number.

It is not a de Polignac number, because 244120133129 - 216 = 244120067593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 244120133095 and 244120133104.

It is not a weakly prime, because it can be changed into another prime (244120133429) 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, 122060066564 + 122060066565.

It is an arithmetic number, because the mean of its divisors is an integer number (122060066565).

Almost surely, 2244120133129 is an apocalyptic number.

It is an amenable number.

244120133129 is a deficient number, since it is larger than the sum of its proper divisors (1).

244120133129 is an equidigital number, since it uses as much as digits as its factorization.

244120133129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 244120133129 in words is "two hundred forty-four billion, one hundred twenty million, one hundred thirty-three thousand, one hundred twenty-nine".