Base | Representation |
---|---|
bin | 111100111111001… |
… | …111101001000101 |
3 | 2122022100120010111 |
4 | 330333033221011 |
5 | 4043420241401 |
6 | 245310553021 |
7 | 34233105442 |
oct | 7477175105 |
9 | 2568316114 |
10 | 1023212101 |
11 | 48563843a |
12 | 246808771 |
13 | 133ca6662 |
14 | 99c709c9 |
15 | 5ec68e51 |
hex | 3cfcfa45 |
1023212101 has 4 divisors (see below), whose sum is σ = 1023287500. Its totient is φ = 1023136704.
The previous prime is 1023212093. The next prime is 1023212119. The reversal of 1023212101 is 1012123201.
It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1012123201 = 577 ⋅1754113.
It can be written as a sum of positive squares in 2 ways, for example, as 606439876 + 416772225 = 24626^2 + 20415^2 .
It is a cyclic number.
It is not a de Polignac number, because 1023212101 - 23 = 1023212093 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023212501) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11076 + ... + 46573.
It is an arithmetic number, because the mean of its divisors is an integer number (255821875).
Almost surely, 21023212101 is an apocalyptic number.
It is an amenable number.
1023212101 is a deficient number, since it is larger than the sum of its proper divisors (75399).
1023212101 is an equidigital number, since it uses as much as digits as its factorization.
1023212101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75398.
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 1023212101 is about 31987.6867091073. The cubic root of 1023212101 is about 1007.6782604245.
Adding to 1023212101 its reverse (1012123201), we get a palindrome (2035335302).
Subtracting from 1023212101 its reverse (1012123201), we obtain a square (11088900 = 33302).
The spelling of 1023212101 in words is "one billion, twenty-three million, two hundred twelve thousand, one hundred one".
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