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20212201121331 = 314983843539311
BaseRepresentation
bin1001001100010000001010…
…00100010110011000110011
32122120021020001022101002210
410212020011010112120303
510122124041441340311
6110553205040343203
74154166120550122
oct446100504263063
978507201271083
1020212201121331
116492a4566928a
122325315314b03
13b3800532521b
144dc3c0951ab9
15250b745573a6
hex126205116633

20212201121331 has 16 divisors (see below), whose sum is σ = 27130845196800. Its totient is φ = 13384181389920.

The previous prime is 20212201121309. The next prime is 20212201121351. The reversal of 20212201121331 is 13312110221202.

It is not a de Polignac number, because 20212201121331 - 242 = 15814154610227 is a prime.

It is a super-2 number, since 2×202122011213312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20212201121298 and 20212201121307.

It is not an unprimeable number, because it can be changed into a prime (20212201121351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37208166 + ... + 37747476.

It is an arithmetic number, because the mean of its divisors is an integer number (1695677824800).

Almost surely, 220212201121331 is an apocalyptic number.

20212201121331 is a deficient number, since it is larger than the sum of its proper divisors (6918644075469).

20212201121331 is a wasteful number, since it uses less digits than its factorization.

20212201121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623306.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20212201121331 its reverse (13312110221202), we get a palindrome (33524311342533).

The spelling of 20212201121331 in words is "twenty trillion, two hundred twelve billion, two hundred one million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 149 447 83843 251529 539311 1617933 12492607 37477821 80357339 241072017 45217452173 135652356519 6737400373777 20212201121331