| Base | Representation |
|---|---|
| bin | 100111010101111… |
| … | …0010000010110100 |
| 3 | 10102000000000210100 |
| 4 | 1032223302002310 |
| 5 | 10200421200040 |
| 6 | 334554154100 |
| 7 | 44466444051 |
| oct | 11653620264 |
| 9 | 3360000710 |
| 10 | 1320100020 |
| 11 | 618186758 |
| 12 | 30a122930 |
| 13 | 180654a95 |
| 14 | c7474028 |
| 15 | 7ad60b30 |
| hex | 4eaf20b4 |
1320100020 has 72 divisors (see below), whose sum is σ = 4014508680. Its totient is φ = 351129600.
The previous prime is 1320100003. The next prime is 1320100021. The reversal of 1320100020 is 200010231.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 932325156 + 387774864 = 30534^2 + 19692^2 .
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 = 1320099975 and 1320100011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1320100021) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63036 + ... + 81324.
It is an arithmetic number, because the mean of its divisors is an integer number (55757065).
Almost surely, 21320100020 is an apocalyptic number.
1320100020 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 1320100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007254340).
1320100020 is an abundant number, since it is smaller than the sum of its proper divisors (2694408660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1320100020 is a wasteful number, since it uses less digits than its factorization.
1320100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18705 (or 18700 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1320100020 is about 36333.1807030433. The cubic root of 1320100020 is about 1096.9890163702.
Adding to 1320100020 its reverse (200010231), we get a palindrome (1520110251).
The spelling of 1320100020 in words is "one billion, three hundred twenty million, one hundred thousand, twenty".
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