| Base | Representation |
|---|---|
| bin | 111100110111010… |
| … | …011111010000100 |
| 3 | 2122011102220100021 |
| 4 | 330313103322010 |
| 5 | 4042402214140 |
| 6 | 245154224524 |
| 7 | 34206324310 |
| oct | 7467237204 |
| 9 | 2564386307 |
| 10 | 1021132420 |
| 11 | 4844479a0 |
| 12 | 245b85144 |
| 13 | 133728b89 |
| 14 | 9988cb40 |
| 15 | 5e9a7b4a |
| hex | 3cdd3e84 |
1021132420 has 96 divisors (see below), whose sum is σ = 2682408960. Its totient is φ = 317216640.
The previous prime is 1021132417. The next prime is 1021132423. The reversal of 1021132420 is 242311201.
It is an interprime number because it is at equal distance from previous prime (1021132417) and next prime (1021132423).
It is a super-2 number, since 2×10211324202 = 2085422838350112800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1021132394 and 1021132403.
It is not an unprimeable number, because it can be changed into a prime (1021132423) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 551937 + ... + 553783.
It is an arithmetic number, because the mean of its divisors is an integer number (27941760).
Almost surely, 21021132420 is an apocalyptic number.
1021132420 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 1021132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).
1021132420 is an abundant number, since it is smaller than the sum of its proper divisors (1661276540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021132420 is a wasteful number, since it uses less digits than its factorization.
1021132420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2233 (or 2231 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 1021132420 is about 31955.1626501885. The cubic root of 1021132420 is about 1006.9950945590.
Adding to 1021132420 its reverse (242311201), we get a palindrome (1263443621).
The spelling of 1021132420 in words is "one billion, twenty-one million, one hundred thirty-two thousand, four hundred twenty".
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