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34120014021 = 341014170641
BaseRepresentation
bin11111110001101101…
…100001100011000101
310021001212211022010000
4133301231201203011
51024334210422041
623401410151513
72315345222352
oct376155414305
9107055738100
1034120014021
11135199495a5
126742882599
1332a9b16c12
1419196bd629
15d4a6a8bb6
hex7f1b618c5

34120014021 has 20 divisors (see below), whose sum is σ = 51474063564. Its totient is φ = 22521456000.

The previous prime is 34120013909. The next prime is 34120014031. The reversal of 34120014021 is 12041002143.

It can be written as a sum of positive squares in 2 ways, for example, as 26214848100 + 7905165921 = 161910^2 + 88911^2 .

It is not a de Polignac number, because 34120014021 - 29 = 34120013509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34120013985 and 34120014003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34120014031) 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 in 19 ways as a sum of consecutive naturals, for example, 2077140 + ... + 2093501.

Almost surely, 234120014021 is an apocalyptic number.

It is an amenable number.

34120014021 is a deficient number, since it is larger than the sum of its proper divisors (17354049543).

34120014021 is a wasteful number, since it uses less digits than its factorization.

34120014021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170754 (or 4170745 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34120014021 its reverse (12041002143), we get a palindrome (46161016164).

The spelling of 34120014021 in words is "thirty-four billion, one hundred twenty million, fourteen thousand, twenty-one".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 4170641 12511923 37535769 112607307 337821921 421234741 1263704223 3791112669 11373338007 34120014021