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33243434137 is a prime number
BaseRepresentation
bin11110111101011101…
…101000110010011001
310011210210101102120101
4132331131220302121
51021040304343022
623134414055401
72254542346024
oct367535506231
9104723342511
1033243434137
111310a063111
1265391aa561
13319a3305b4
1418750dc1bb
15ce8756627
hex7bd768c99

33243434137 has 2 divisors, whose sum is σ = 33243434138. Its totient is φ = 33243434136.

The previous prime is 33243434131. The next prime is 33243434173. The reversal of 33243434137 is 73143434233.

Together with next prime (33243434173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32180413321 + 1063020816 = 179389^2 + 32604^2 .

It is an emirp because it is prime and its reverse (73143434233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33243434137 - 215 = 33243401369 is a prime.

It is a super-2 number, since 2×332434341372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33243434096 and 33243434105.

It is not a weakly prime, because it can be changed into another prime (33243434131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16621717068 + 16621717069.

It is an arithmetic number, because the mean of its divisors is an integer number (16621717069).

Almost surely, 233243434137 is an apocalyptic number.

It is an amenable number.

33243434137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33243434137 is an equidigital number, since it uses as much as digits as its factorization.

33243434137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 217728, while the sum is 37.

The spelling of 33243434137 in words is "thirty-three billion, two hundred forty-three million, four hundred thirty-four thousand, one hundred thirty-seven".