| Base | Representation |
|---|---|
| bin | 111100110011000… |
| … | …110110000110000 |
| 3 | 2122002100220002220 |
| 4 | 330303012300300 |
| 5 | 4042111430000 |
| 6 | 245114441040 |
| 7 | 34164053253 |
| oct | 7463066060 |
| 9 | 2562326086 |
| 10 | 1020030000 |
| 11 | 483864700 |
| 12 | 245733180 |
| 13 | 133431162 |
| 14 | 9968309a |
| 15 | 5e83b1a0 |
| hex | 3ccc6c30 |
1020030000 has 300 divisors, whose sum is σ = 3632231064. Its totient is φ = 246400000.
The previous prime is 1020029999. The next prime is 1020030001. The reversal of 1020030000 is 300201.
It is an interprime number because it is at equal distance from previous prime (1020029999) and next prime (1020030001).
It is a tau number, because it is divible by the number of its divisors (300).
It is a super-2 number, since 2×10200300002 = 2080922401800000000, which contains 22 as substring.
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 not an unprimeable number, because it can be changed into a prime (1020030001) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3629860 + ... + 3630140.
Almost surely, 21020030000 is an apocalyptic number.
1020030000 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 1020030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816115532).
1020030000 is an abundant number, since it is smaller than the sum of its proper divisors (2612201064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020030000 is a wasteful number, since it uses less digits than its factorization.
1020030000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 334 (or 302 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
The square root of 1020030000 is about 31937.9085101075. The cubic root of 1020030000 is about 1006.6325783135.
Adding to 1020030000 its reverse (300201), we get a palindrome (1020330201).
The spelling of 1020030000 in words is "one billion, twenty million, thirty thousand".
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