Base | Representation |
---|---|
bin | 1010011101101011101101… |
… | …11000011100010100010110 |
3 | 10000110202011211020011221200 |
4 | 11032311312320130110112 |
5 | 11003444223340442324 |
6 | 120534413151053330 |
7 | 4563266402351520 |
oct | 516656670342426 |
9 | 100422154204850 |
10 | 23010134312214 |
11 | 73715a7a45555 |
12 | 26b7627511246 |
13 | cabb0059958a |
14 | 5979a707aa10 |
15 | 29d82e168ec9 |
hex | 14ed76e1c516 |
23010134312214 has 96 divisors (see below), whose sum is σ = 57313222686720. Its totient is φ = 6535592519616.
The previous prime is 23010134312203. The next prime is 23010134312267. The reversal of 23010134312214 is 41221343101032.
23010134312214 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 0 + 1 + 3 + 431 + 221 + 4 = 666.
It is a super-4 number, since 4×230101343122144 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212847027 + ... + 212955105.
It is an arithmetic number, because the mean of its divisors is an integer number (597012736320).
Almost surely, 223010134312214 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23010134312214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656611343360).
23010134312214 is an abundant number, since it is smaller than the sum of its proper divisors (34303088374506).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23010134312214 is a wasteful number, since it uses less digits than its factorization.
23010134312214 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 118034 (or 118031 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
Adding to 23010134312214 its reverse (41221343101032), we get a palindrome (64231477413246).
The spelling of 23010134312214 in words is "twenty-three trillion, ten billion, one hundred thirty-four million, three hundred twelve thousand, two hundred fourteen".
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