| Base | Representation |
|---|---|
| bin | 10010101000001111… |
| … | …00101111101010100 |
| 3 | 221211000001011121101 |
| 4 | 21110013211331110 |
| 5 | 130440302224340 |
| 6 | 4332224355444 |
| 7 | 502560615130 |
| oct | 112407457524 |
| 9 | 27730034541 |
| 10 | 10001211220 |
| 11 | 4272472020 |
| 12 | 1b31475b84 |
| 13 | c35022880 |
| 14 | 6ac39a3c0 |
| 15 | 3d804bc9a |
| hex | 2541e5f54 |
10001211220 has 192 divisors, whose sum is σ = 28279996416. Its totient is φ = 2869240320.
The previous prime is 10001211217. The next prime is 10001211229. The reversal of 10001211220 is 2211210001.
10001211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 10001211197 and 10001211206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10001211229) 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 63 ways as a sum of consecutive naturals, for example, 12151729 + ... + 12152551.
It is an arithmetic number, because the mean of its divisors is an integer number (147291648).
Almost surely, 210001211220 is an apocalyptic number.
10001211220 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 10001211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14139998208).
10001211220 is an abundant number, since it is smaller than the sum of its proper divisors (18278785196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001211220 is a wasteful number, since it uses less digits than its factorization.
10001211220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1470 (or 1468 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 10001211220 its reverse (2211210001), we get a palindrome (12212421221).
The spelling of 10001211220 in words is "ten billion, one million, two hundred eleven thousand, two hundred twenty".
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