Base | Representation |
---|---|
bin | 100110100111… |
… | …011111001100 |
3 | 201001022102210 |
4 | 212213133030 |
5 | 10042420322 |
6 | 1000550420 |
7 | 152021511 |
oct | 46473714 |
9 | 21038383 |
10 | 10123212 |
11 | 57947a0 |
12 | 3482410 |
13 | 2135988 |
14 | 14b7308 |
15 | d4e70c |
hex | 9a77cc |
10123212 has 48 divisors (see below), whose sum is σ = 26272512. Its totient is φ = 3007680.
The previous prime is 10123207. The next prime is 10123241. The reversal of 10123212 is 21232101.
10123212 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an alternating number because its digits alternate between odd and even.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6273 + ... + 7719.
It is an arithmetic number, because the mean of its divisors is an integer number (547344).
Almost surely, 210123212 is an apocalyptic number.
10123212 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 10123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13136256).
10123212 is an abundant number, since it is smaller than the sum of its proper divisors (16149300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10123212 is a wasteful number, since it uses less digits than its factorization.
10123212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 10123212 is about 3181.6995458402. The cubic root of 10123212 is about 216.3247002669.
Adding to 10123212 its reverse (21232101), we get a palindrome (31355313).
Subtracting 10123212 from its reverse (21232101), we obtain a square (11108889 = 33332).
It can be divided in two parts, 1012 and 3212, that added together give a palindrome (4224).
The spelling of 10123212 in words is "ten million, one hundred twenty-three thousand, two hundred twelve".
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