Base | Representation |
---|---|
bin | 111100010100011… |
… | …110010100010100 |
3 | 2121112020221001020 |
4 | 330110132110110 |
5 | 4033033000040 |
6 | 244230401140 |
7 | 34035600243 |
oct | 7424362424 |
9 | 2545227036 |
10 | 1012000020 |
11 | 47a27a659 |
12 | 242b001b0 |
13 | 13187c1a5 |
14 | 9859295a |
15 | 5dca1cd0 |
hex | 3c51e514 |
1012000020 has 96 divisors (see below), whose sum is σ = 2906886528. Its totient is φ = 262958592.
The previous prime is 1012000013. The next prime is 1012000049. The reversal of 1012000020 is 200002101.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 1011999972 and 1012000008.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498247 + ... + 500273.
It is an arithmetic number, because the mean of its divisors is an integer number (30280068).
Almost surely, 21012000020 is an apocalyptic number.
1012000020 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 1012000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453443264).
1012000020 is an abundant number, since it is smaller than the sum of its proper divisors (1894886508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012000020 is a wasteful number, since it uses less digits than its factorization.
1012000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 1012000020 is about 31811.9477555210. The cubic root of 1012000020 is about 1003.9841124346.
Adding to 1012000020 its reverse (200002101), we get a palindrome (1212002121).
The spelling of 1012000020 in words is "one billion, twelve million, twenty", and thus it is an aban number and an uban number.
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