| Base | Representation |
|---|---|
| bin | 111100111000010… |
| … | …111101011010000 |
| 3 | 2122011222000010000 |
| 4 | 330320113223100 |
| 5 | 4042440110000 |
| 6 | 245204210000 |
| 7 | 34211561502 |
| oct | 7470275320 |
| 9 | 2564860100 |
| 10 | 1021410000 |
| 11 | 4846174a6 |
| 12 | 246099900 |
| 13 | 1337c5320 |
| 14 | 99921d72 |
| 15 | 5ea10000 |
| hex | 3ce17ad0 |
1021410000 has 500 divisors, whose sum is σ = 4019316532. Its totient is φ = 248832000.
The previous prime is 1021409993. The next prime is 1021410007. The reversal of 1021410000 is 141201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1021409993) and next prime (1021410007).
It can be written as a sum of positive squares in 10 ways, for example, as 942981264 + 78428736 = 30708^2 + 8856^2 .
It is a tau number, because it is divible by the number of its divisors (500).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1021410007) by changing a digit.
It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 10529952 + ... + 10530048.
Almost surely, 21021410000 is an apocalyptic number.
1021410000 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 1021410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009658266).
1021410000 is an abundant number, since it is smaller than the sum of its proper divisors (2997906532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021410000 is an equidigital number, since it uses as much as digits as its factorization.
1021410000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 150 (or 120 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1021410000 is about 31959.5056282165. The cubic root of 1021410000 is about 1007.0863319502.
Adding to 1021410000 its reverse (141201), we get a palindrome (1021551201).
The spelling of 1021410000 in words is "one billion, twenty-one million, four hundred ten thousand".
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