| Base | Representation |
|---|---|
| bin | 11101000110101111010… |
| … | …000011011011011111000 |
| 3 | 21002012121102020001222101 |
| 4 | 131012233100123123320 |
| 5 | 230232201112041440 |
| 6 | 4130455554433144 |
| 7 | 264334226305105 |
| oct | 35065720333370 |
| 9 | 7065542201871 |
| 10 | 2000100112120 |
| 11 | 701268409580 |
| 12 | 2837715927b4 |
| 13 | 1167bb216c06 |
| 14 | 6cb3bcadaac |
| 15 | 37061ba569a |
| hex | 1d1af41b6f8 |
2000100112120 has 256 divisors, whose sum is σ = 5171620608000. Its totient is φ = 689084098560.
The previous prime is 2000100112091. The next prime is 2000100112121. The reversal of 2000100112120 is 212110010002.
It is a super-3 number, since 3×20001001121203 (a number of 38 digits) contains 333 as substring.
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 = 2000100112097 and 2000100112106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2000100112121) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 554503357 + ... + 554506963.
It is an arithmetic number, because the mean of its divisors is an integer number (20201643000).
Almost surely, 22000100112120 is an apocalyptic number.
2000100112120 is a gapful number since it is divisible by the number (20) 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 2000100112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585810304000).
2000100112120 is an abundant number, since it is smaller than the sum of its proper divisors (3171520495880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000100112120 is a wasteful number, since it uses less digits than its factorization.
2000100112120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4158 (or 4154 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 2000100112120 its reverse (212110010002), we get a palindrome (2212210122122).
The spelling of 2000100112120 in words is "two trillion, one hundred million, one hundred twelve thousand, one hundred twenty".
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