Base | Representation |
---|---|
bin | 1011111011000110101011… |
… | …0111011101101111010100 |
3 | 1201102022021202012202210200 |
4 | 2332301222313131233110 |
5 | 3204243321434041040 |
6 | 43514355512020500 |
7 | 2522111561541345 |
oct | 276615267355724 |
9 | 51368252182720 |
10 | 13110033112020 |
11 | 41a4a2aa06409 |
12 | 157898b691730 |
13 | 741369ca9920 |
14 | 3347597880cc |
15 | 17b04e620630 |
hex | bec6adddbd4 |
13110033112020 has 144 divisors (see below), whose sum is σ = 42835750972560. Its totient is φ = 3226358458368.
The previous prime is 13110033111977. The next prime is 13110033112037. The reversal of 13110033112020 is 2021133001131.
13110033112020 is a `hidden beast` number, since 1 + 31 + 100 + 331 + 1 + 202 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 1016414814276 + 12093618297744 = 1008174^2 + 3477588^2 .
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 = 13110033111984 and 13110033112002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9800866 + ... + 11057894.
It is an arithmetic number, because the mean of its divisors is an integer number (297470492865).
Almost surely, 213110033112020 is an apocalyptic number.
13110033112020 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 13110033112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21417875486280).
13110033112020 is an abundant number, since it is smaller than the sum of its proper divisors (29725717860540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13110033112020 is a wasteful number, since it uses less digits than its factorization.
13110033112020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1261514 (or 1261509 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 13110033112020 its reverse (2021133001131), we get a palindrome (15131166113151).
The spelling of 13110033112020 in words is "thirteen trillion, one hundred ten billion, thirty-three million, one hundred twelve thousand, twenty".
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