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22002211221012 = 22321125051012677
BaseRepresentation
bin1010000000010110010011…
…11110111110111000010100
32212220101112221010000121100
411000023021332332320110
510340441012033033022
6114443402025150100
74430415206422311
oct500131176767024
985811487100540
1022002211221012
1170130a3701a00
12257421402b330
13c37a519a7cb9
14560cac669d08
152824dc04a1ac
hex1402c9fbee14

22002211221012 has 54 divisors (see below), whose sum is σ = 61132406441834. Its totient is φ = 6667336732320.

The previous prime is 22002211220999. The next prime is 22002211221013. The reversal of 22002211221012 is 21012211220022.

It is a happy number.

22002211221012 is a `hidden beast` number, since 220 + 0 + 2 + 211 + 221 + 0 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11888055784836 + 10114155436176 = 3447906^2 + 3180276^2 .

It is a super-3 number, since 3×220022112210123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002211221013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2525501983 + ... + 2525510694.

Almost surely, 222002211221012 is an apocalyptic number.

22002211221012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22002211221012 is an abundant number, since it is smaller than the sum of its proper divisors (39130195220822).

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

22002211221012 is a wasteful number, since it uses less digits than its factorization.

22002211221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051012709 (or 5051012693 counting only the distinct ones).

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

Adding to 22002211221012 its reverse (21012211220022), we get a palindrome (43014422441034).

The spelling of 22002211221012 in words is "twenty-two trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 5051012677 10102025354 15153038031 20204050708 30306076062 45459114093 55561139447 60612152124 90918228186 111122278894 166683418341 181836456372 222244557788 333366836682 500050255023 611172533917 666733673364 1000100510046 1222345067834 1833517601751 2000201020092 2444690135668 3667035203502 5500552805253 7334070407004 11001105610506 22002211221012