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34121213129 is a prime number
BaseRepresentation
bin11111110001110010…
…000110010011001001
310021001222002012222102
4133301302012103021
51024340012310004
623401452003145
72315361345323
oct376162062311
9107058065872
1034121213129
111351a5984a3
1267431604b5
1332aa146953
141919912613
15d4a84411e
hex7f1c864c9

34121213129 has 2 divisors, whose sum is σ = 34121213130. Its totient is φ = 34121213128.

The previous prime is 34121213123. The next prime is 34121213143. The reversal of 34121213129 is 92131212143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28915302025 + 5205911104 = 170045^2 + 72152^2 .

It is an emirp because it is prime and its reverse (92131212143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34121213129 is a prime.

It is not a weakly prime, because it can be changed into another prime (34121213123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17060606564 + 17060606565.

It is an arithmetic number, because the mean of its divisors is an integer number (17060606565).

Almost surely, 234121213129 is an apocalyptic number.

It is an amenable number.

34121213129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34121213129 is an equidigital number, since it uses as much as digits as its factorization.

34121213129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 29.

The spelling of 34121213129 in words is "thirty-four billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred twenty-nine".