| Base | Representation |
|---|---|
| bin | 10010101010011111… |
| … | …01001011110110100 |
| 3 | 221212022120211011120 |
| 4 | 21111033221132310 |
| 5 | 131010121200040 |
| 6 | 4334141303540 |
| 7 | 503210305410 |
| oct | 112517513664 |
| 9 | 27768524146 |
| 10 | 10020100020 |
| 11 | 42820a34a7 |
| 12 | 1b37864bb0 |
| 13 | c38c07288 |
| 14 | 6b0ab5d40 |
| 15 | 3d9a2d7d0 |
| hex | 2553e97b4 |
10020100020 has 96 divisors (see below), whose sum is σ = 32093058816. Its totient is φ = 2288256000.
The previous prime is 10020100019. The next prime is 10020100031. The reversal of 10020100020 is 2000102001.
It is a happy number.
It is a super-3 number, since 3×100201000203 (a number of 31 digits) contains 333 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 junction number, because it is equal to n+sod(n) for n = 10020099981 and 10020100008.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485920 + ... + 506120.
It is an arithmetic number, because the mean of its divisors is an integer number (334302696).
Almost surely, 210020100020 is an apocalyptic number.
10020100020 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 10020100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046529408).
10020100020 is an abundant number, since it is smaller than the sum of its proper divisors (22072958796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020100020 is a wasteful number, since it uses less digits than its factorization.
10020100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21401 (or 21399 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 10020100020 its reverse (2000102001), we get a palindrome (12020202021).
The spelling of 10020100020 in words is "ten billion, twenty million, one hundred thousand, twenty".
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