Base | Representation |
---|---|
bin | 10110111111011000110101… |
… | …101101111010100010010000 |
3 | 111021000022101022021102211200 |
4 | 112333120311231322202100 |
5 | 101223113431423423440 |
6 | 555014403012111200 |
7 | 30204113633164050 |
oct | 2677306555724220 |
9 | 437008338242750 |
10 | 101113021311120 |
11 | 2a243878578a15 |
12 | b41046a305500 |
13 | 4455bbc845030 |
14 | 1ad7c797d1560 |
15 | ba52ad4d1c30 |
hex | 5bf635b7a890 |
101113021311120 has 3840 divisors, whose sum is σ = 460931778478080. Its totient is φ = 19293836083200.
The previous prime is 101113021311103. The next prime is 101113021311121. The reversal of 101113021311120 is 21113120311101.
101113021311120 is a `hidden beast` number, since 1 + 0 + 111 + 302 + 131 + 1 + 120 = 666.
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 = 101113021311093 and 101113021311102.
It is not an unprimeable number, because it can be changed into a prime (101113021311121) by changing a digit.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 234600977305 + ... + 234600977735.
It is an arithmetic number, because the mean of its divisors is an integer number (120034317312).
Almost surely, 2101113021311120 is an apocalyptic number.
101113021311120 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 101113021311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230465889239040).
101113021311120 is an abundant number, since it is smaller than the sum of its proper divisors (359818757166960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101113021311120 is a wasteful number, since it uses less digits than its factorization.
101113021311120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 654 (or 645 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 18.
Adding to 101113021311120 its reverse (21113120311101), we get a palindrome (122226141622221).
The spelling of 101113021311120 in words is "one hundred one trillion, one hundred thirteen billion, twenty-one million, three hundred eleven thousand, one hundred twenty".
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