| Base | Representation |
|---|---|
| bin | 1001000110000101010110… |
| … | …0110110011110010000100 |
| 3 | 1022102000001120020001211100 |
| 4 | 2101201111212303302010 |
| 5 | 2302320221221231040 |
| 6 | 33133554115140100 |
| 7 | 2051325204242046 |
| oct | 221412546636204 |
| 9 | 38360046201740 |
| 10 | 10000120102020 |
| 11 | 3206033105494 |
| 12 | 115610bba4630 |
| 13 | 577012cb99c9 |
| 14 | 268019073a96 |
| 15 | 1251d5768b30 |
| hex | 918559b3c84 |
10000120102020 has 144 divisors (see below), whose sum is σ = 31335234577920. Its totient is φ = 2578778035200.
The previous prime is 10000120102001. The next prime is 10000120102039. The reversal of 10000120102020 is 2020102100001.
It is an interprime number because it is at equal distance from previous prime (10000120102001) and next prime (10000120102039).
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 = 10000120101993 and 10000120102011.
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 47 ways as a sum of consecutive naturals, for example, 6935991 + ... + 8252769.
It is an arithmetic number, because the mean of its divisors is an integer number (217605795680).
Almost surely, 210000120102020 is an apocalyptic number.
10000120102020 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 10000120102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667617288960).
10000120102020 is an abundant number, since it is smaller than the sum of its proper divisors (21335114475900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000120102020 is a wasteful number, since it uses less digits than its factorization.
10000120102020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1318186 (or 1318181 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10000120102020 its reverse (2020102100001), we get a palindrome (12020222202021).
The spelling of 10000120102020 in words is "ten trillion, one hundred twenty million, one hundred two thousand, twenty".
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