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2231201212020 = 223251137227313399
BaseRepresentation
bin100000011101111101111…
…101001010011001110100
321220022010020201022221200
4200131331331022121310
5243024000002241040
64424555533212500
7320125150244544
oct40357575123164
97808106638850
102231201212020
11790279a0a420
12300508931130
1313252aa75681
1479dc2743324
153d08a755630
hex2077df4a674

2231201212020 has 288 divisors, whose sum is σ = 7586697081600. Its totient is φ = 526007623680.

The previous prime is 2231201212013. The next prime is 2231201212021. The reversal of 2231201212020 is 202121021322.

2231201212020 is a `hidden beast` number, since 2 + 231 + 201 + 212 + 0 + 20 = 666.

It is a super-3 number, since 3×22312012120203 (a number of 38 digits) contains 333 as substring.

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 = 2231201211984 and 2231201212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231201212021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 166513281 + ... + 166526679.

It is an arithmetic number, because the mean of its divisors is an integer number (26342698200).

Almost surely, 22231201212020 is an apocalyptic number.

2231201212020 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 2231201212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793348540800).

2231201212020 is an abundant number, since it is smaller than the sum of its proper divisors (5355495869580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2231201212020 is a wasteful number, since it uses less digits than its factorization.

2231201212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15735 (or 15730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2231201212020 its reverse (202121021322), we get a palindrome (2433322233342).

The spelling of 2231201212020 in words is "two trillion, two hundred thirty-one billion, two hundred one million, two hundred twelve thousand, twenty".