Base | Representation |
---|---|
bin | 10111001100100101101001… |
… | …000101000000001100101100 |
3 | 111101020000202122120012222110 |
4 | 113030211221011000030230 |
5 | 101332444202000213400 |
6 | 1000551221400444020 |
7 | 30326465464162536 |
oct | 2714455105001454 |
9 | 441200678505873 |
10 | 102020121101100 |
11 | 2a563543780034 |
12 | b538224179610 |
13 | 44c05c11a60a7 |
14 | 1b29b2baac856 |
15 | bbdb9de89e50 |
hex | 5cc96914032c |
102020121101100 has 288 divisors, whose sum is σ = 308307517056000. Its totient is φ = 26022419942400.
The previous prime is 102020121101027. The next prime is 102020121101123. The reversal of 102020121101100 is 1101121020201.
102020121101100 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-3 number, since 3×1020201211011003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274861441 + ... + 275232359.
It is an arithmetic number, because the mean of its divisors is an integer number (1070512212000).
Almost surely, 2102020121101100 is an apocalyptic number.
102020121101100 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 102020121101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154153758528000).
102020121101100 is an abundant number, since it is smaller than the sum of its proper divisors (206287395954900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102020121101100 is a wasteful number, since it uses less digits than its factorization.
102020121101100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 371393 (or 371386 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 102020121101100 its reverse (1101121020201), we get a palindrome (103121242121301).
The spelling of 102020121101100 in words is "one hundred two trillion, twenty billion, one hundred twenty-one million, one hundred one thousand, one hundred".
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