| Base | Representation |
|---|---|
| bin | 10010101010100110… |
| … | …00111111000111000 |
| 3 | 221212101022002210120 |
| 4 | 21111103013320320 |
| 5 | 131010334323000 |
| 6 | 4334213013240 |
| 7 | 503221121340 |
| oct | 112523077070 |
| 9 | 27771262716 |
| 10 | 10021011000 |
| 11 | 4282665980 |
| 12 | 1b38024220 |
| 13 | c39165b10 |
| 14 | 6b0c71d20 |
| 15 | 3d9b5d6a0 |
| hex | 2554c7e38 |
10021011000 has 1024 divisors, whose sum is σ = 43475927040. Its totient is φ = 1854720000.
The previous prime is 10021010983. The next prime is 10021011019. The reversal of 10021011000 is 11012001.
10021011000 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 2×100210110002 (a number of 21 digits) 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 a self number, because there is not a number n which added to its sum of digits gives 10021011000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 141140965 + ... + 141141035.
It is an arithmetic number, because the mean of its divisors is an integer number (42456960).
Almost surely, 210021011000 is an apocalyptic number.
10021011000 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 10021011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21737963520).
10021011000 is an abundant number, since it is smaller than the sum of its proper divisors (33454916040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021011000 is a wasteful number, since it uses less digits than its factorization.
10021011000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173 (or 159 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 10021011000 its reverse (11012001), we get a palindrome (10032023001).
The spelling of 10021011000 in words is "ten billion, twenty-one million, eleven thousand".
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