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34222102123 = 11293714292029
BaseRepresentation
bin11111110111110010…
…111101011001101011
310021022222220220122211
4133313302331121223
51030041324231443
623415454225551
72321025032326
oct376762753153
9107288826584
1034222102123
1113571536930
126770ab52b7
1332c500bc91
1419290957bd
15d5462219d
hex7f7cbd66b

34222102123 has 32 divisors (see below), whose sum is σ = 39711672000. Its totient is φ = 29191518720.

The previous prime is 34222102091. The next prime is 34222102129. The reversal of 34222102123 is 32120122243.

It is a cyclic number.

It is not a de Polignac number, because 34222102123 - 25 = 34222102091 is a prime.

It is a super-2 number, since 2×342221021232 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34222102094 and 34222102103.

It is not an unprimeable number, because it can be changed into a prime (34222102129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16865473 + ... + 16867501.

It is an arithmetic number, because the mean of its divisors is an integer number (1240989750).

Almost surely, 234222102123 is an apocalyptic number.

34222102123 is a deficient number, since it is larger than the sum of its proper divisors (5489569877).

34222102123 is a wasteful number, since it uses less digits than its factorization.

34222102123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34222102123 its reverse (32120122243), we get a palindrome (66342224366).

The spelling of 34222102123 in words is "thirty-four billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-three".

Divisors: 1 11 29 37 319 407 1073 1429 2029 11803 15719 22319 41441 52873 58841 75073 455851 581603 647251 825803 1533317 2177117 2899441 16866487 23948287 31893851 84083789 107279317 924921679 1180072487 3111100193 34222102123