Search a number
-
+
2221110121212 = 22323773107213481
BaseRepresentation
bin100000010100100100011…
…110101101001011111100
321212100001222112210201200
4200110210132231023330
5242342313142334322
64420210334135500
7316320115344663
oct40244436551374
97770058483650
102221110121212
11786a70839554
122ba571351590
131315b0243918
147970646bdda
153cb998a28ac
hex205247ad2fc

2221110121212 has 144 divisors (see below), whose sum is σ = 5899860281952. Its totient is φ = 703848683520.

The previous prime is 2221110121193. The next prime is 2221110121247. The reversal of 2221110121212 is 2121210111222.

2221110121212 is a `hidden beast` number, since 2 + 221 + 110 + 121 + 212 = 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 47 ways as a sum of consecutive naturals, for example, 10297512 + ... + 10510992.

It is an arithmetic number, because the mean of its divisors is an integer number (40971251958).

Almost surely, 22221110121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221110121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949930140976).

2221110121212 is an abundant number, since it is smaller than the sum of its proper divisors (3678750160740).

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

2221110121212 is a wasteful number, since it uses less digits than its factorization.

2221110121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213708 (or 213703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2221110121212 its reverse (2121210111222), we get a palindrome (4342320232434).

The spelling of 2221110121212 in words is "two trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 107 111 146 148 214 219 222 292 321 333 428 438 444 642 657 666 876 963 1284 1314 1332 1926 2628 2701 3852 3959 5402 7811 7918 8103 10804 11877 15622 15836 16206 23433 23754 24309 31244 32412 35631 46866 47508 48618 70299 71262 93732 97236 140598 142524 213481 281196 289007 426962 578014 640443 853924 867021 1156028 1280886 1734042 1921329 2561772 2601063 3468084 3842658 5202126 7685316 7898797 10404252 15584113 15797594 22842467 23696391 31168226 31595188 45684934 46752339 47392782 62336452 68527401 71089173 91369868 93504678 94785564 137054802 140257017 142178346 187009356 205582203 274109604 280514034 284356692 411164406 561028068 576612181 822328812 845171279 1153224362 1667500091 1690342558 1729836543 2306448724 2535513837 3335000182 3380685116 3459673086 5002500273 5071027674 5189509629 6670000364 6919346172 7606541511 10005000546 10142055348 10379019258 15007500819 15213083022 20010001092 20758038516 30015001638 30426166044 60030003276 61697503367 123395006734 185092510101 246790013468 370185020202 555277530303 740370040404 1110555060606 2221110121212