Search a number
-
+
43133101311329 is a prime number
BaseRepresentation
bin10011100111010101101010…
…01011101000010101100001
312122201111001222210110201222
421303222311023220111201
521123143042413430304
6231423023450504425
712041156313554141
oct1163526513502541
9178644058713658
1043133101311329
111281a711237a97
124a07598435115
131b0b584666043
14a919206d6921
154ebece6cb4be
hex273ab52e8561

43133101311329 has 2 divisors, whose sum is σ = 43133101311330. Its totient is φ = 43133101311328.

The previous prime is 43133101311227. The next prime is 43133101311331. The reversal of 43133101311329 is 92311310133134.

43133101311329 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., 34582067945104 + 8551033366225 = 5880652^2 + 2924215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-43133101311329 is a prime.

Together with 43133101311331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (43133101311529) 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, 21566550655664 + 21566550655665.

It is an arithmetic number, because the mean of its divisors is an integer number (21566550655665).

Almost surely, 243133101311329 is an apocalyptic number.

It is an amenable number.

43133101311329 is a deficient number, since it is larger than the sum of its proper divisors (1).

43133101311329 is an equidigital number, since it uses as much as digits as its factorization.

43133101311329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 43133101311329 in words is "forty-three trillion, one hundred thirty-three billion, one hundred one million, three hundred eleven thousand, three hundred twenty-nine".