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34121310373 is a prime number
BaseRepresentation
bin11111110001110010…
…011110000010100101
310021001222021011101001
4133301302132002211
51024340023412443
623401454033301
72315362231663
oct376162360245
9107058234331
1034121310373
111351a654567
1267431a8831
1332aa17bca7
141919939c33
15d4a862d4d
hex7f1c9e0a5

34121310373 has 2 divisors, whose sum is σ = 34121310374. Its totient is φ = 34121310372.

The previous prime is 34121310343. The next prime is 34121310401. The reversal of 34121310373 is 37301312143.

It is an a-pointer prime, because the next prime (34121310401) can be obtained adding 34121310373 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33715569924 + 405740449 = 183618^2 + 20143^2 .

It is an emirp because it is prime and its reverse (37301312143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34121310373 - 29 = 34121309861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34121310343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060655186 + 17060655187.

It is an arithmetic number, because the mean of its divisors is an integer number (17060655187).

Almost surely, 234121310373 is an apocalyptic number.

It is an amenable number.

34121310373 is a deficient number, since it is larger than the sum of its proper divisors (1).

34121310373 is an equidigital number, since it uses as much as digits as its factorization.

34121310373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 34121310373 in words is "thirty-four billion, one hundred twenty-one million, three hundred ten thousand, three hundred seventy-three".