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34143205933 is a prime number
BaseRepresentation
bin11111110011000101…
…111111101000101101
310021010111110120102201
4133303011333220231
51024411130042213
623403555221501
72316046314304
oct376305775055
9107114416381
1034143205933
1113530a49a71
12674a5a7891
1332b1877145
14191c7d943b
15d4c73a6dd
hex7f317fa2d

34143205933 has 2 divisors, whose sum is σ = 34143205934. Its totient is φ = 34143205932.

The previous prime is 34143205927. The next prime is 34143205969. The reversal of 34143205933 is 33950234143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33066512964 + 1076692969 = 181842^2 + 32813^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34143205933 is a prime.

It is a super-2 number, since 2×341432059332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34143205892 and 34143205901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34143205133) 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, 17071602966 + 17071602967.

It is an arithmetic number, because the mean of its divisors is an integer number (17071602967).

Almost surely, 234143205933 is an apocalyptic number.

It is an amenable number.

34143205933 is a deficient number, since it is larger than the sum of its proper divisors (1).

34143205933 is an equidigital number, since it uses as much as digits as its factorization.

34143205933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 34143205933 in words is "thirty-four billion, one hundred forty-three million, two hundred five thousand, nine hundred thirty-three".