Base | Representation |
---|---|
bin | 10000111100010… |
… | …01100010011000 |
3 | 100220102111111220 |
4 | 20132021202120 |
5 | 242340333422 |
6 | 22034052040 |
7 | 3344003160 |
oct | 1036114230 |
9 | 326374456 |
10 | 142121112 |
11 | 73250771 |
12 | 3b71a020 |
13 | 235a0943 |
14 | 14c375a0 |
15 | c724e5c |
hex | 8789898 |
142121112 has 128 divisors (see below), whose sum is σ = 434073600. Its totient is φ = 37900800.
The previous prime is 142121099. The next prime is 142121113. The reversal of 142121112 is 211121241.
142121112 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.
It is a super-2 number, since 2×1421211122 = 40396820952233088, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 142121091 and 142121100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (142121113) 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 31 ways as a sum of consecutive naturals, for example, 150562 + ... + 151502.
It is an arithmetic number, because the mean of its divisors is an integer number (3391200).
Almost surely, 2142121112 is an apocalyptic number.
142121112 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 142121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217036800).
142121112 is an abundant number, since it is smaller than the sum of its proper divisors (291952488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142121112 is a wasteful number, since it uses less digits than its factorization.
142121112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).
The product of its digits is 32, while the sum is 15.
The square root of 142121112 is about 11921.4559513509. The cubic root of 142121112 is about 521.8586249753.
Adding to 142121112 its reverse (211121241), we get a palindrome (353242353).
The spelling of 142121112 in words is "one hundred forty-two million, one hundred twenty-one thousand, one hundred twelve".
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