Base | Representation |
---|---|
bin | 111101011001100… |
… | …011111100101100 |
3 | 2122210100001200000 |
4 | 331121203330230 |
5 | 4102202023040 |
6 | 250114504300 |
7 | 34345541061 |
oct | 7531437454 |
9 | 2583301600 |
10 | 1030111020 |
11 | 48951a724 |
12 | 248b95090 |
13 | 135550863 |
14 | 9ab48c68 |
15 | 6067d130 |
hex | 3d663f2c |
1030111020 has 144 divisors (see below), whose sum is σ = 3282639360. Its totient is φ = 271118016.
The previous prime is 1030111007. The next prime is 1030111037. The reversal of 1030111020 is 201110301.
It is a super-2 number, since 2×10301110202 = 2122257427050880800, 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 = 1030110993 and 1030111011.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382599 + ... + 385281.
Almost surely, 21030111020 is an apocalyptic number.
1030111020 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 1030111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641319680).
1030111020 is an abundant number, since it is smaller than the sum of its proper divisors (2252528340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1030111020 is a wasteful number, since it uses less digits than its factorization.
1030111020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2786 (or 2772 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 1030111020 is about 32095.3426527900. The cubic root of 1030111020 is about 1009.9379173028.
Adding to 1030111020 its reverse (201110301), we get a palindrome (1231221321).
It can be divided in two parts, 10301 and 11020, that added together give a triangular number (21321 = T206).
The spelling of 1030111020 in words is "one billion, thirty million, one hundred eleven thousand, twenty".
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