Base | Representation |
---|---|
bin | 1001001100100010101001… |
… | …11011111000011000000000 |
3 | 2122121012212002011010211202 |
4 | 10212101110323320120000 |
5 | 10122304411014404440 |
6 | 111001530240400332 |
7 | 4155000154335011 |
oct | 446212473703000 |
9 | 78535762133752 |
10 | 20222131013120 |
11 | 6497180848a23 |
12 | 23272269160a8 |
13 | b38c2863683a |
14 | 4dca83665008 |
15 | 2510561b7615 |
hex | 126454ef8600 |
20222131013120 has 80 divisors (see below), whose sum is σ = 48498424920000. Its totient is φ = 8086732652544.
The previous prime is 20222131013113. The next prime is 20222131013153. The reversal of 20222131013120 is 2131013122202.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×202221310131202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 20222131013092 and 20222131013101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8753756 + ... + 10820004.
It is an arithmetic number, because the mean of its divisors is an integer number (606230311500).
Almost surely, 220222131013120 is an apocalyptic number.
20222131013120 is a gapful number since it is divisible by the number (20) 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 20222131013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24249212460000).
20222131013120 is an abundant number, since it is smaller than the sum of its proper divisors (28276293906880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20222131013120 is an equidigital number, since it uses as much as digits as its factorization.
20222131013120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2070095 (or 2070079 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 20222131013120 its reverse (2131013122202), we get a palindrome (22353144135322).
The spelling of 20222131013120 in words is "twenty trillion, two hundred twenty-two billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".
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