Base | Representation |
---|---|
bin | 100000110110001… |
… | …0000110101001000 |
3 | 2211210211121120220 |
4 | 1001230100311020 |
5 | 4224120403222 |
6 | 301210150040 |
7 | 36211612404 |
oct | 10154206510 |
9 | 2753747526 |
10 | 1102122312 |
11 | 516134895 |
12 | 269122320 |
13 | 1474449a5 |
14 | a6532104 |
15 | 66b54b5c |
hex | 41b10d48 |
1102122312 has 64 divisors (see below), whose sum is σ = 2833608960. Its totient is φ = 357004800.
The previous prime is 1102122289. The next prime is 1102122313. The reversal of 1102122312 is 2132212011.
It is a junction number, because it is equal to n+sod(n) for n = 1102122291 and 1102122300.
It is not an unprimeable number, because it can be changed into a prime (1102122313) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264598 + ... + 268730.
It is an arithmetic number, because the mean of its divisors is an integer number (44275140).
Almost surely, 21102122312 is an apocalyptic number.
1102122312 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 1102122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416804480).
1102122312 is an abundant number, since it is smaller than the sum of its proper divisors (1731486648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1102122312 is a wasteful number, since it uses less digits than its factorization.
1102122312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4454 (or 4450 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 1102122312 is about 33198.2275430481. The cubic root of 1102122312 is about 1032.9435739453.
Adding to 1102122312 its reverse (2132212011), we get a palindrome (3234334323).
It can be divided in two parts, 11021 and 22312, that added together give a palindrome (33333).
The spelling of 1102122312 in words is "one billion, one hundred two million, one hundred twenty-two thousand, three hundred twelve".
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