Search a number
-
+
11202022122012 = 22321312579242501
BaseRepresentation
bin1010001100000010110010…
…0011001010001000011100
31110122220101011220210201200
42203000230203022020130
52432013220130401022
635454045442435500
72234214356656641
oct243005443121034
943586334823650
1011202022122012
1136298294a7327
12130b03a662b90
13633466664817
142aa27602ddc8
151465cc410bac
hexa302c8ca21c

11202022122012 has 72 divisors (see below), whose sum is σ = 28643400978192. Its totient is φ = 3691084800000.

The previous prime is 11202022121993. The next prime is 11202022122043. The reversal of 11202022122012 is 21022122020211.

It is a happy number.

11202022122012 is a `hidden beast` number, since 11 + 202 + 0 + 221 + 220 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409239 + ... + 5833262.

It is an arithmetic number, because the mean of its divisors is an integer number (397825013586).

Almost surely, 211202022122012 is an apocalyptic number.

11202022122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11202022122012 is an abundant number, since it is smaller than the sum of its proper divisors (17441378856180).

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

11202022122012 is a wasteful number, since it uses less digits than its factorization.

11202022122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242899 (or 9242894 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11202022122012 its reverse (21022122020211), we get a palindrome (32224144142223).

The spelling of 11202022122012 in words is "eleven trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 257 262 393 514 524 771 786 1028 1179 1542 1572 2313 2358 3084 4626 4716 9252 33667 67334 101001 134668 202002 303003 404004 606006 1212012 9242501 18485002 27727503 36970004 55455006 83182509 110910012 166365018 332730036 1210767631 2375322757 2421535262 3632302893 4750645514 4843070524 7125968271 7264605786 9501291028 10896908679 14251936542 14529211572 21377904813 21793817358 28503873084 42755809626 43587634716 85511619252 311167281167 622334562334 933501843501 1244669124668 1867003687002 2800505530503 3734007374004 5601011061006 11202022122012