| Base | Representation |
|---|---|
| bin | 1001000110101111000111… |
| … | …1000110110100010111100 |
| 3 | 1022110001222221102010012200 |
| 4 | 2101223301320312202330 |
| 5 | 2303011201443342340 |
| 6 | 33143050433231500 |
| 7 | 2052203066015640 |
| oct | 221536170664274 |
| 9 | 38401887363180 |
| 10 | 10011332012220 |
| 11 | 320a866a20580 |
| 12 | 115831aa02590 |
| 13 | 5780abaab7b6 |
| 14 | 2687a0146c20 |
| 15 | 12563ec16330 |
| hex | 91af1e368bc |
10011332012220 has 288 divisors, whose sum is σ = 37865695795200. Its totient is φ = 2080020833280.
The previous prime is 10011332012191. The next prime is 10011332012251. The reversal of 10011332012220 is 2221023311001.
10011332012220 is a `hidden beast` number, since 1 + 0 + 0 + 113 + 320 + 12 + 220 = 666.
It is a super-3 number, since 3×100113320122203 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10011332012193 and 10011332012202.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125379229 + ... + 125459051.
It is an arithmetic number, because the mean of its divisors is an integer number (131478110400).
Almost surely, 210011332012220 is an apocalyptic number.
10011332012220 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 10011332012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932847897600).
10011332012220 is an abundant number, since it is smaller than the sum of its proper divisors (27854363782980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10011332012220 is a wasteful number, since it uses less digits than its factorization.
10011332012220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88905 (or 88900 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10011332012220 its reverse (2221023311001), we get a palindrome (12232355323221).
The spelling of 10011332012220 in words is "ten trillion, eleven billion, three hundred thirty-two million, twelve thousand, two hundred twenty".
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