Base | Representation |
---|---|
bin | 10111001101110000001001… |
… | …011100110100111010011100 |
3 | 111101111200020222200212020021 |
4 | 113031300021130310322130 |
5 | 101340302022001042340 |
6 | 1001052051554401524 |
7 | 30335330116101550 |
oct | 2715601134647234 |
9 | 441450228625207 |
10 | 102100121112220 |
11 | 2a594466694500 |
12 | b54b82bb902a4 |
13 | 44c8000312c8a |
14 | 1b2d95a84b860 |
15 | bc0cd245be4a |
hex | 5cdc09734e9c |
102100121112220 has 288 divisors, whose sum is σ = 277212219540480. Its totient is φ = 30906886348800.
The previous prime is 102100121112133. The next prime is 102100121112239. The reversal of 102100121112220 is 22211121001201.
102100121112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1021001211122202 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 102100121112194 and 102100121112203.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79950076 + ... + 81217084.
It is an arithmetic number, because the mean of its divisors is an integer number (962542428960).
Almost surely, 2102100121112220 is an apocalyptic number.
102100121112220 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 102100121112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138606109770240).
102100121112220 is an abundant number, since it is smaller than the sum of its proper divisors (175112098428260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102100121112220 is a wasteful number, since it uses less digits than its factorization.
102100121112220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1267185 (or 1267172 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 102100121112220 its reverse (22211121001201), we get a palindrome (124311242113421).
The spelling of 102100121112220 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty".
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