Base | Representation |
---|---|
bin | 111001010100101101… |
… | …0001111000010010010 |
3 | 102202202010211112120100 |
4 | 1302221122033002102 |
5 | 4004102413423442 |
6 | 132315120153230 |
7 | 11615364610536 |
oct | 1625132170222 |
9 | 382663745510 |
10 | 123101311122 |
11 | 48230532069 |
12 | 1ba36468816 |
13 | b7ba8810ca |
14 | 5d5b1a1bc6 |
15 | 33073ac84c |
hex | 1ca968f092 |
123101311122 has 12 divisors (see below), whose sum is σ = 266719507470. Its totient is φ = 41033770368.
The previous prime is 123101311079. The next prime is 123101311153. The reversal of 123101311122 is 221113101321.
123101311122 is a `hidden beast` number, since 1 + 231 + 0 + 1 + 311 + 122 = 666.
123101311122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 102189548241 + 20911762881 = 319671^2 + 144609^2 .
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6838961729 = 123101311122 / (1 + 2 + 3 + 1 + 0 + 1 + 3 + 1 + 1 + 1 + 2 + 2).
It is a junction number, because it is equal to n+sod(n) for n = 123101311095 and 123101311104.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 3419480847 + ... + 3419480882.
Almost surely, 2123101311122 is an apocalyptic number.
123101311122 is an abundant number, since it is smaller than the sum of its proper divisors (143618196348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123101311122 is a wasteful number, since it uses less digits than its factorization.
123101311122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6838961737 (or 6838961734 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 123101311122 its reverse (221113101321), we get a palindrome (344214412443).
The spelling of 123101311122 in words is "one hundred twenty-three billion, one hundred one million, three hundred eleven thousand, one hundred twenty-two".
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