Base | Representation |
---|---|
bin | 1100000101111… |
… | …10001101110100 |
3 | 21001212210211200 |
4 | 12002332031310 |
5 | 201432124140 |
6 | 14022132500 |
7 | 2341150332 |
oct | 602761564 |
9 | 231783750 |
10 | 101442420 |
11 | 52297212 |
12 | 29b81130 |
13 | 1802a201 |
14 | d688b52 |
15 | 8d8c030 |
hex | 60be374 |
101442420 has 144 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 25521408.
The previous prime is 101442413. The next prime is 101442421. The reversal of 101442420 is 24244101.
Added to its reverse (24244101) it gives a square (125686521 = 112112).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 101442393 and 101442402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101442421) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442866 + ... + 443094.
It is an arithmetic number, because the mean of its divisors is an integer number (2260440).
Almost surely, 2101442420 is an apocalyptic number.
101442420 is a gapful number since it is divisible by the number (10) 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 101442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).
101442420 is an abundant number, since it is smaller than the sum of its proper divisors (224060940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101442420 is a wasteful number, since it uses less digits than its factorization.
101442420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 374 (or 369 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 101442420 is about 10071.8627869923. The cubic root of 101442420 is about 466.3799451887.
Adding to 101442420 its reverse (24244101), we get a palindrome (125686521).
It can be divided in two parts, 1014 and 42420, that added together give a palindrome (43434).
The spelling of 101442420 in words is "one hundred one million, four hundred forty-two thousand, four hundred twenty".
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