Base | Representation |
---|---|
bin | 1110100001011… |
… | …00010100110000 |
3 | 22111012220122100 |
4 | 13100230110300 |
5 | 222141110433 |
6 | 20030540400 |
7 | 3006264522 |
oct | 720542460 |
9 | 274186570 |
10 | 121816368 |
11 | 62842493 |
12 | 34967700 |
13 | 1c3118bb |
14 | 1226da12 |
15 | aa63b13 |
hex | 742c530 |
121816368 has 60 divisors (see below), whose sum is σ = 343652608. Its totient is φ = 40279680.
The previous prime is 121816367. The next prime is 121816369. The reversal of 121816368 is 863618121.
121816368 is a `hidden beast` number, since 1 + 2 + 18 + 1 + 636 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (121816367) and next prime (121816369).
It is a super-2 number, since 2×1218163682 = 29678455025422848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (121816363) 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 11 ways as a sum of consecutive naturals, for example, 14958 + ... + 21618.
Almost surely, 2121816368 is an apocalyptic number.
121816368 is a gapful number since it is divisible by the number (18) 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 121816368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171826304).
121816368 is an abundant number, since it is smaller than the sum of its proper divisors (221836240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121816368 is a wasteful number, since it uses less digits than its factorization.
121816368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6802 (or 6793 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 121816368 is about 11037.0452567705. The cubic root of 121816368 is about 495.7186012219.
The spelling of 121816368 in words is "one hundred twenty-one million, eight hundred sixteen thousand, three hundred sixty-eight".
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