Search a number
-
+
22110012012 = 22311219976519
BaseRepresentation
bin10100100101110111…
…000000001001101100
32010001212212222120210
4110211313000021230
5330240130341022
614053542142420
71411623000264
oct244567001154
963055788523
1022110012012
119416586300
124350721a10
13211488c95a
1410da61a7a4
1589610ea0c
hex525dc026c

22110012012 has 72 divisors (see below), whose sum is σ = 56992096000. Its totient is φ = 6666248160.

The previous prime is 22110011971. The next prime is 22110012137. The reversal of 22110012012 is 21021001122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 250689 + ... + 327207.

Almost surely, 222110012012 is an apocalyptic number.

22110012012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28496048000).

22110012012 is an abundant number, since it is smaller than the sum of its proper divisors (34882083988).

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

22110012012 is a wasteful number, since it uses less digits than its factorization.

22110012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76747 (or 76734 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22110012012 its reverse (21021001122), we get a palindrome (43131013134).

The spelling of 22110012012 in words is "twenty-two billion, one hundred ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 199 242 363 398 484 597 726 796 1194 1452 2189 2388 4378 6567 8756 13134 24079 26268 48158 72237 76519 96316 144474 153038 229557 288948 306076 459114 841709 918228 1683418 2525127 3366836 5050254 9258799 10100508 15227281 18517598 27776397 30454562 37035196 45681843 55552794 60909124 91363686 111105588 167500091 182727372 335000182 502500273 670000364 1005000546 1842501001 2010001092 3685002002 5527503003 7370004004 11055006006 22110012012