Base | Representation |
---|---|
bin | 111100110011000… |
… | …100100110001100 |
3 | 2122002100102221110 |
4 | 330303010212030 |
5 | 4042111134012 |
6 | 245114332020 |
7 | 34164015354 |
oct | 7463044614 |
9 | 2562312843 |
10 | 1020021132 |
11 | 483858a79 |
12 | 24572a010 |
13 | 13342a100 |
14 | 9967db64 |
15 | 5e83873c |
hex | 3ccc498c |
1020021132 has 72 divisors (see below), whose sum is σ = 2616027456. Its totient is φ = 309127104.
The previous prime is 1020021127. The next prime is 1020021133. The reversal of 1020021132 is 2311200201.
It is a super-2 number, since 2×10200211322 = 2080886219453122848, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (1020021133) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132123 + ... + 139629.
Almost surely, 21020021132 is an apocalyptic number.
1020021132 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 1020021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308013728).
1020021132 is an abundant number, since it is smaller than the sum of its proper divisors (1596006324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020021132 is a wasteful number, since it uses less digits than its factorization.
1020021132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7607 (or 7592 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1020021132 is about 31937.7696779221. The cubic root of 1020021132 is about 1006.6296611301.
Adding to 1020021132 its reverse (2311200201), we get a palindrome (3331221333).
The spelling of 1020021132 in words is "one billion, twenty million, twenty-one thousand, one hundred thirty-two".
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