Base | Representation |
---|---|
bin | 1100000010100… |
… | …10111100001110 |
3 | 21001001111002200 |
4 | 12001102330032 |
5 | 201324044042 |
6 | 14004502330 |
7 | 2334340311 |
oct | 601227416 |
9 | 231044080 |
10 | 101003022 |
11 | 5201707a |
12 | 299aa9a6 |
13 | 17c05203 |
14 | d5b2978 |
15 | 8d01c4c |
hex | 6052f0e |
101003022 has 36 divisors (see below), whose sum is σ = 226165680. Its totient is φ = 32576040.
The previous prime is 101003009. The next prime is 101003029. The reversal of 101003022 is 220300101.
It is a happy number.
It is a super-2 number, since 2×1010030222 = 20403220906264968, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 101002995 and 101003013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101003029) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14379 + ... + 20217.
It is an arithmetic number, because the mean of its divisors is an integer number (6282380).
Almost surely, 2101003022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101003022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113082840).
101003022 is an abundant number, since it is smaller than the sum of its proper divisors (125162658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101003022 is a wasteful number, since it uses less digits than its factorization.
101003022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5909 (or 5875 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 101003022 is about 10050.0259701157. The cubic root of 101003022 is about 465.7055954478.
Adding to 101003022 its reverse (220300101), we get a palindrome (321303123).
The spelling of 101003022 in words is "one hundred one million, three thousand, twenty-two".
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