Base | Representation |
---|---|
bin | 10101100010101110… |
… | …100111000001010101 |
3 | 2012201001110211110200 |
4 | 111202232213001111 |
5 | 334333043101401 |
6 | 14343142211113 |
7 | 1446133100211 |
oct | 254256470125 |
9 | 65631424420 |
10 | 23131222101 |
11 | 989aa76589 |
12 | 4596723a99 |
13 | 2248314c90 |
14 | 11960c9941 |
15 | 905ad0686 |
hex | 562ba7055 |
23131222101 has 24 divisors (see below), whose sum is σ = 36338176056. Its totient is φ = 14093654400.
The previous prime is 23131222099. The next prime is 23131222111. The reversal of 23131222101 is 10122213132.
23131222101 is a `hidden beast` number, since 231 + 312 + 22 + 101 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 4798332900 + 18332889201 = 69270^2 + 135399^2 .
It is not a de Polignac number, because 23131222101 - 21 = 23131222099 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23131222111) 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 23 ways as a sum of consecutive naturals, for example, 966910 + ... + 990543.
It is an arithmetic number, because the mean of its divisors is an integer number (1514090669).
Almost surely, 223131222101 is an apocalyptic number.
It is an amenable number.
23131222101 is a deficient number, since it is larger than the sum of its proper divisors (13206953955).
23131222101 is a wasteful number, since it uses less digits than its factorization.
23131222101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1957573 (or 1957570 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 23131222101 its reverse (10122213132), we get a palindrome (33253435233).
The spelling of 23131222101 in words is "twenty-three billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred one".
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