Base | Representation |
---|---|
bin | 10010110110110001… |
… | …11111011000100001 |
3 | 222010111121110122200 |
4 | 21123120333120201 |
5 | 131213020243241 |
6 | 4352303323413 |
7 | 505601612355 |
oct | 113330773041 |
9 | 28114543580 |
10 | 10123212321 |
11 | 4325320282 |
12 | 1b662b0569 |
13 | c5439a581 |
14 | 6c0677465 |
15 | 3e3aea4b6 |
hex | 25b63f621 |
10123212321 has 12 divisors (see below), whose sum is σ = 15017618772. Its totient is φ = 6566407776.
The previous prime is 10123212301. The next prime is 10123212329. The reversal of 10123212321 is 12321232101.
10123212321 is a `hidden beast` number, since 10 + 12 + 321 + 2 + 321 = 666.
10123212321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.
It can be written as a sum of positive squares in 2 ways, for example, as 7252395921 + 2870816400 = 85161^2 + 53580^2 .
It is not a de Polignac number, because 10123212321 - 25 = 10123212289 is a prime.
It is an alternating number because its digits alternate between odd and even.
It is a junction number, because it is equal to n+sod(n) for n = 10123212294 and 10123212303.
It is not an unprimeable number, because it can be changed into a prime (10123212329) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15199686 + ... + 15200351.
It is an arithmetic number, because the mean of its divisors is an integer number (1251468231).
Almost surely, 210123212321 is an apocalyptic number.
It is an amenable number.
10123212321 is a deficient number, since it is larger than the sum of its proper divisors (4894406451).
10123212321 is a wasteful number, since it uses less digits than its factorization.
10123212321 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30400080 (or 30400077 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10123212321 its reverse (12321232101), we get a palindrome (22444444422).
The spelling of 10123212321 in words is "ten billion, one hundred twenty-three million, two hundred twelve thousand, three hundred twenty-one".
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