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12022313130 = 2325178988289
BaseRepresentation
bin10110011001001010…
…11111000010101010
31011000212002210012200
423030211133002222
5144110203010010
65304543521030
7603631655412
oct131445370252
934025083180
1012022313130
11510a311883
1223b62b9176
131197977a69
14820989642
154a56cbcc0
hex2cc95f0aa

12022313130 has 96 divisors (see below), whose sum is σ = 33468973200. Its totient is φ = 2983428096.

The previous prime is 12022313053. The next prime is 12022313153. The reversal of 12022313130 is 3131322021.

12022313130 is a `hidden beast` number, since 120 + 2 + 231 + 313 + 0 = 666.

12022313130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7409594241 + 4612718889 = 86079^2 + 67917^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92026 + ... + 180314.

Almost surely, 212022313130 is an apocalyptic number.

12022313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734486600).

12022313130 is an abundant number, since it is smaller than the sum of its proper divisors (21446660070).

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

12022313130 is a wasteful number, since it uses less digits than its factorization.

12022313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88408 (or 88405 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12022313130 its reverse (3131322021), we get a palindrome (15153635151).

The spelling of 12022313130 in words is "twelve billion, twenty-two million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 89 90 102 153 170 178 255 267 306 445 510 534 765 801 890 1335 1513 1530 1602 2670 3026 4005 4539 7565 8010 9078 13617 15130 22695 27234 45390 68085 88289 136170 176578 264867 441445 529734 794601 882890 1324335 1500913 1589202 2648670 3001826 3973005 4502739 7504565 7857721 7946010 9005478 13508217 15009130 15715442 22513695 23573163 27016434 39288605 45027390 47146326 67541085 70719489 78577210 117865815 133581257 135082170 141438978 235731630 267162514 353597445 400743771 667906285 707194890 801487542 1202231313 1335812570 2003718855 2404462626 4007437710 6011156565 12022313130