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34050040033 is a prime number
BaseRepresentation
bin11111101101100010…
…100110000011100001
310020220000011020211211
4133231202212003201
51024213302240113
623350430310121
72313535364512
oct375542460341
9106800136754
1034050040033
11134933a6059
126723358341
1332984871a9
1419102a6a09
15d44485b3d
hex7ed8a60e1

34050040033 has 2 divisors, whose sum is σ = 34050040034. Its totient is φ = 34050040032.

The previous prime is 34050040007. The next prime is 34050040043. The reversal of 34050040033 is 33004005043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31098617104 + 2951422929 = 176348^2 + 54327^2 .

It is a cyclic number.

It is not a de Polignac number, because 34050040033 - 25 = 34050040001 is a prime.

It is a super-3 number, since 3×340500400333 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34050039986 and 34050040013.

It is not a weakly prime, because it can be changed into another prime (34050040043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17025020016 + 17025020017.

It is an arithmetic number, because the mean of its divisors is an integer number (17025020017).

Almost surely, 234050040033 is an apocalyptic number.

It is an amenable number.

34050040033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34050040033 is an equidigital number, since it uses as much as digits as its factorization.

34050040033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 34050040033 its reverse (33004005043), we get a palindrome (67054045076).

The spelling of 34050040033 in words is "thirty-four billion, fifty million, forty thousand, thirty-three".