Base | Representation |
---|---|
bin | 1100000110110011101101… |
… | …1101011011010100011000 |
3 | 1202010112021112022222011100 |
4 | 3001230323131123110120 |
5 | 3221042113403020440 |
6 | 44151011355231400 |
7 | 2542460332343214 |
oct | 301547335332430 |
9 | 52115245288140 |
10 | 13311101220120 |
11 | 427222a689a80 |
12 | 15ab944a48560 |
13 | 757301691612 |
14 | 340391665944 |
15 | 1813bb72b230 |
hex | c1b3b75b518 |
13311101220120 has 768 divisors, whose sum is σ = 48111148800000. Its totient is φ = 3165023600640.
The previous prime is 13311101220097. The next prime is 13311101220167. The reversal of 13311101220120 is 2102210111331.
13311101220120 is a `hidden beast` number, since 1 + 3 + 311 + 10 + 1 + 220 + 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 = 13311101220093 and 13311101220102.
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 191 ways as a sum of consecutive naturals, for example, 30321414861 + ... + 30321415299.
It is an arithmetic number, because the mean of its divisors is an integer number (62644725000).
Almost surely, 213311101220120 is an apocalyptic number.
13311101220120 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 13311101220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24055574400000).
13311101220120 is an abundant number, since it is smaller than the sum of its proper divisors (34800047579880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13311101220120 is a wasteful number, since it uses less digits than its factorization.
13311101220120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1128 (or 1121 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 13311101220120 its reverse (2102210111331), we get a palindrome (15413311331451).
The spelling of 13311101220120 in words is "thirteen trillion, three hundred eleven billion, one hundred one million, two hundred twenty thousand, one hundred twenty".
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