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34121213128 = 2317421959467
BaseRepresentation
bin11111110001110010…
…000110010011001000
310021001222002012222101
4133301302012103020
51024340012310003
623401452003144
72315361345322
oct376162062310
9107058065871
1034121213128
111351a5984a2
1267431604b4
1332aa146952
141919912612
15d4a84411d
hex7f1c864c8

34121213128 has 32 divisors (see below), whose sum is σ = 67757839200. Its totient is φ = 16052965632.

The previous prime is 34121213123. The next prime is 34121213129. The reversal of 34121213128 is 82131212143.

It is a junction number, because it is equal to n+sod(n) for n = 34121213096 and 34121213105.

It is not an unprimeable number, because it can be changed into a prime (34121213123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544051 + ... + 603517.

It is an arithmetic number, because the mean of its divisors is an integer number (2117432475).

Almost surely, 234121213128 is an apocalyptic number.

It is an amenable number.

34121213128 is a deficient number, since it is larger than the sum of its proper divisors (33636626072).

34121213128 is a wasteful number, since it uses less digits than its factorization.

34121213128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63709 (or 63705 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The spelling of 34121213128 in words is "thirty-four billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 17 34 68 136 4219 8438 16876 33752 59467 71723 118934 143446 237868 286892 475736 573784 1010939 2021878 4043756 8087512 250891273 501782546 1003565092 2007130184 4265151641 8530303282 17060606564 34121213128