Base | Representation |
---|---|
bin | 1011000110101110010010… |
… | …0001110101101010001100 |
3 | 1121020021111000212120100200 |
4 | 2301223210201311222030 |
5 | 3100022322032143040 |
6 | 41545131245253500 |
7 | 2400103301112444 |
oct | 261534441655214 |
9 | 47207430776320 |
10 | 12210131131020 |
11 | 3988318784759 |
12 | 14524a4264290 |
13 | 6a754491c734 |
14 | 302d8b3d9124 |
15 | 162930a06630 |
hex | b1ae4875a8c |
12210131131020 has 288 divisors, whose sum is σ = 39291872256000. Its totient is φ = 3060606394368.
The previous prime is 12210131130943. The next prime is 12210131131027. The reversal of 12210131131020 is 2013113101221.
12210131131020 is a `hidden beast` number, since 1 + 2 + 21 + 0 + 1 + 311 + 310 + 20 = 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 = 12210131130984 and 12210131131002.
It is not an unprimeable number, because it can be changed into a prime (12210131131027) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252778831 + ... + 252827129.
It is an arithmetic number, because the mean of its divisors is an integer number (136430112000).
Almost surely, 212210131131020 is an apocalyptic number.
12210131131020 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 12210131131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645936128000).
12210131131020 is an abundant number, since it is smaller than the sum of its proper divisors (27081741124980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12210131131020 is a wasteful number, since it uses less digits than its factorization.
12210131131020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48909 (or 48904 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 12210131131020 its reverse (2013113101221), we get a palindrome (14223244232241).
The spelling of 12210131131020 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred thirty-one thousand, twenty".
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