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34101051337 is a prime number
BaseRepresentation
bin11111110000100101…
…001011111111001001
310021000120010220012101
4133300211023333021
51024314332120322
623355451513401
72315025103513
oct376045137711
9107016126171
1034101051337
111350a177661
126738458861
1332a5c079b2
141916d84bb3
15d48bb0327
hex7f094bfc9

34101051337 has 2 divisors, whose sum is σ = 34101051338. Its totient is φ = 34101051336.

The previous prime is 34101051331. The next prime is 34101051371. The reversal of 34101051337 is 73315010143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30983392441 + 3117658896 = 176021^2 + 55836^2 .

It is a cyclic number.

It is not a de Polignac number, because 34101051337 - 23 = 34101051329 is a prime.

It is not a weakly prime, because it can be changed into another prime (34101051331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050525668 + 17050525669.

It is an arithmetic number, because the mean of its divisors is an integer number (17050525669).

Almost surely, 234101051337 is an apocalyptic number.

It is an amenable number.

34101051337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34101051337 is an equidigital number, since it uses as much as digits as its factorization.

34101051337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 34101051337 in words is "thirty-four billion, one hundred one million, fifty-one thousand, three hundred thirty-seven".