Base | Representation |
---|---|
bin | 111100111110111… |
… | …010001011110100 |
3 | 2122022012002120100 |
4 | 330332322023310 |
5 | 4043404433322 |
6 | 245305034100 |
7 | 34232261265 |
oct | 7476721364 |
9 | 2568162510 |
10 | 1023124212 |
11 | 485588400 |
12 | 246785930 |
13 | 133c75656 |
14 | 99c4a96c |
15 | 5ec4cdac |
hex | 3cfba2f4 |
1023124212 has 108 divisors (see below), whose sum is σ = 2855097700. Its totient is φ = 308689920.
The previous prime is 1023124211. The next prime is 1023124229. The reversal of 1023124212 is 2124213201.
It is a happy number.
1023124212 is a `hidden beast` number, since 10 + 231 + 2 + 421 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 545876496 + 477247716 = 23364^2 + 21846^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023124211) 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 35 ways as a sum of consecutive naturals, for example, 1519908 + ... + 1520580.
Almost surely, 21023124212 is an apocalyptic number.
1023124212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023124212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427548850).
1023124212 is an abundant number, since it is smaller than the sum of its proper divisors (1831973488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023124212 is a wasteful number, since it uses less digits than its factorization.
1023124212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1054 (or 1038 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1023124212 is about 31986.3128853577. The cubic root of 1023124212 is about 1007.6494080258.
Adding to 1023124212 its reverse (2124213201), we get a palindrome (3147337413).
It can be divided in two parts, 10231 and 24212, that added together give a palindrome (34443).
The spelling of 1023124212 in words is "one billion, twenty-three million, one hundred twenty-four thousand, two hundred twelve".
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