Base | Representation |
---|---|
bin | 111100111011000… |
… | …000011000001010 |
3 | 2122020021002222200 |
4 | 330323000120022 |
5 | 4043124213002 |
6 | 245231101030 |
7 | 34220500206 |
oct | 7473003012 |
9 | 2566232880 |
10 | 1022101002 |
11 | 484a4967a |
12 | 246371776 |
13 | 1339a79c0 |
14 | 99a61b06 |
15 | 5eae9b1c |
hex | 3cec060a |
1022101002 has 96 divisors (see below), whose sum is σ = 2500243200. Its totient is φ = 299981088.
The previous prime is 1022100977. The next prime is 1022101007. The reversal of 1022101002 is 2001012201.
It is a super-3 number, since 3×10221010023 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1022101007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2846899 + ... + 2847257.
It is an arithmetic number, because the mean of its divisors is an integer number (26044200).
Almost surely, 21022101002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250121600).
1022101002 is an abundant number, since it is smaller than the sum of its proper divisors (1478142198).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022101002 is a wasteful number, since it uses less digits than its factorization.
1022101002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 449 (or 400 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1022101002 is about 31970.3143869434. The cubic root of 1022101002 is about 1007.3133846842.
Adding to 1022101002 its reverse (2001012201), we get a palindrome (3023113203).
The spelling of 1022101002 in words is "one billion, twenty-two million, one hundred one thousand, two".
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