Base | Representation |
---|---|
bin | 10101100011011000… |
… | …001001011100100100 |
3 | 2012201210222001020200 |
4 | 111203120021130210 |
5 | 334343340023022 |
6 | 14344211430500 |
7 | 1446324461256 |
oct | 254330113444 |
9 | 65653861220 |
10 | 23142111012 |
11 | 98a6133589 |
12 | 459a2b5430 |
13 | 224a658317 |
14 | 1197721cd6 |
15 | 906a31bac |
hex | 563609724 |
23142111012 has 216 divisors, whose sum is σ = 63792466920. Its totient is φ = 7058688000.
The previous prime is 23142111007. The next prime is 23142111049. The reversal of 23142111012 is 21011124132.
23142111012 is a `hidden beast` number, since 231 + 421 + 1 + 1 + 0 + 12 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 33246756 + 23108864256 = 5766^2 + 152016^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229129762 + ... + 229129862.
It is an arithmetic number, because the mean of its divisors is an integer number (295335495).
Almost surely, 223142111012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23142111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31896233460).
23142111012 is an abundant number, since it is smaller than the sum of its proper divisors (40650355908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23142111012 is a wasteful number, since it uses less digits than its factorization.
23142111012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 335 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 23142111012 its reverse (21011124132), we get a palindrome (44153235144).
The spelling of 23142111012 in words is "twenty-three billion, one hundred forty-two million, one hundred eleven thousand, twelve".
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