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2231320122 = 23441335941
BaseRepresentation
bin1000010011111111…
…0011111000111010
312202111121210210000
42010333303320322
514032204220442
61005224533430
7106202623323
oct20477637072
95674553700
102231320122
11a45581919
12523321276
13297379485
141724b144a
15d0d56d4c
hex84ff3e3a

2231320122 has 40 divisors (see below), whose sum is σ = 5121771732. Its totient is φ = 725630400.

The previous prime is 2231320109. The next prime is 2231320123. The reversal of 2231320122 is 2210231322.

2231320122 is a `hidden beast` number, since 223 + 1 + 320 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1662926841 + 568393281 = 40779^2 + 23841^2 .

It is a super-3 number, since 3×22313201223 (a number of 29 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 = 2231320095 and 2231320104.

It is not an unprimeable number, because it can be changed into a prime (2231320123) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 161329 + ... + 174612.

Almost surely, 22231320122 is an apocalyptic number.

2231320122 is an abundant number, since it is smaller than the sum of its proper divisors (2890451610).

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

2231320122 is a wasteful number, since it uses less digits than its factorization.

2231320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335996 (or 335987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2231320122 is about 47236.8513133549. The cubic root of 2231320122 is about 1306.7343092701.

Adding to 2231320122 its reverse (2210231322), we get a palindrome (4441551444).

The spelling of 2231320122 in words is "two billion, two hundred thirty-one million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 335941 671882 1007823 2015646 3023469 6046938 9070407 13773581 18140814 27211221 27547162 41320743 54422442 82641486 123962229 247924458 371886687 743773374 1115660061 2231320122