Base | Representation |
---|---|
bin | 111100110110110… |
… | …110000001100100 |
3 | 2122011012200102221 |
4 | 330312312001210 |
5 | 4042334310040 |
6 | 245151442124 |
7 | 34205304412 |
oct | 7466660144 |
9 | 2564180387 |
10 | 1021010020 |
11 | 484373a38 |
12 | 245b26344 |
13 | 1336b5254 |
14 | 9985a2b2 |
15 | 5e98174a |
hex | 3cdb6064 |
1021010020 has 48 divisors (see below), whose sum is σ = 2279612160. Its totient is φ = 383267456.
The previous prime is 1021009993. The next prime is 1021010041. The reversal of 1021010020 is 200101201.
1021010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10210100202 = 2084922921880800800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1021009985 and 1021010012.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441 + ... + 45319.
It is an arithmetic number, because the mean of its divisors is an integer number (47491920).
Almost surely, 21021010020 is an apocalyptic number.
1021010020 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 1021010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139806080).
1021010020 is an abundant number, since it is smaller than the sum of its proper divisors (1258602140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021010020 is a wasteful number, since it uses less digits than its factorization.
1021010020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41964 (or 41962 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
The square root of 1021010020 is about 31953.2474093010. The cubic root of 1021010020 is about 1006.9548578171.
Adding to 1021010020 its reverse (200101201), we get a palindrome (1221111221).
The spelling of 1021010020 in words is "one billion, twenty-one million, ten thousand, twenty".
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