Search a number
-
+
2012200212022 = 27111313116745943
BaseRepresentation
bin11101010010000000011…
…110101001011000110110
321010100211200200211120121
4131102000132221120312
5230431441223241042
64140220401522154
7265243124411230
oct35220036513066
97110750624517
102012200212022
1170640761a740
12285b8994335a
13117999028840
146d568d07250
153751e0ea367
hex1d4807a9636

2012200212022 has 128 divisors (see below), whose sum is σ = 4108019908608. Its totient is φ = 713828419200.

The previous prime is 2012200211971. The next prime is 2012200212031. The reversal of 2012200212022 is 2202120022102.

It is a super-2 number, since 2×20122002120222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012200211987 and 2012200212005.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43774783 + ... + 43820725.

It is an arithmetic number, because the mean of its divisors is an integer number (32093905536).

Almost surely, 22012200212022 is an apocalyptic number.

2012200212022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2012200212022 is an abundant number, since it is smaller than the sum of its proper divisors (2095819696586).

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

2012200212022 is a wasteful number, since it uses less digits than its factorization.

2012200212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46274.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2012200212022 its reverse (2202120022102), we get a palindrome (4214320234124).

It can be divided in two parts, 2012200 and 212022, that added together give a palindrome (2224222).

The spelling of 2012200212022 in words is "two trillion, twelve billion, two hundred million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 131 143 154 167 182 262 286 334 917 1001 1169 1441 1703 1834 1837 2002 2171 2338 2882 3406 3674 4342 10087 11921 12859 15197 18733 20174 21877 23842 23881 25718 30394 37466 43754 45943 47762 91886 131131 153139 167167 240647 262262 284401 306278 321601 334334 481294 505373 568802 597259 643202 1010746 1194518 1684529 1990807 3128411 3369058 3537611 3981614 4180813 6018533 6256822 6569849 7075222 7672481 8361626 12037066 13139698 15344962 21898877 42129731 43797754 45988943 53707367 66203863 78240929 84259462 84397291 91977886 99742253 107414734 132407726 156481858 168794582 199484506 463427041 547686503 590781037 698195771 860650219 926854082 1005095011 1095373006 1097164783 1181562074 1396391542 1721300438 2010190022 2194329566 6024551533 7035665077 7680153481 11056045121 12049103066 13066235143 14071330154 15360306962 22112090242 26132470286 77392315847 91463646001 143728586573 154784631694 182927292002 287457173146 1006100106011 2012200212022