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220022122001122 = 2725355737601081
BaseRepresentation
bin110010000001101111100100…
…011011001011001011100010
31001212000220112222112122210001
4302001233210123023023202
5212314320301213013442
62055540433434530214
764226034202262500
oct6201574433131342
91055026488478701
10220022122001122
11641189489a5241
122081591759696a
13959ccc676c5bc
143c491adcdd670
151a684311022b7
hexc81be46cb2e2

220022122001122 has 48 divisors (see below), whose sum is σ = 391230092481912. Its totient is φ = 92499427587840.

The previous prime is 220022122001089. The next prime is 220022122001131. The reversal of 220022122001122 is 221100221220022.

It can be written as a sum of positive squares in 4 ways, for example, as 87659421000921 + 132362701000201 = 9362661^2 + 11504899^2 .

It is a super-2 number, since 2×2200221220011222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220022122001122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25145622 + ... + 32746702.

Almost surely, 2220022122001122 is an apocalyptic number.

220022122001122 is a deficient number, since it is larger than the sum of its proper divisors (171207970480790).

220022122001122 is a wasteful number, since it uses less digits than its factorization.

220022122001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606723 (or 7606716 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220022122001122 its reverse (221100221220022), we get a palindrome (441122343221144).

The spelling of 220022122001122 in words is "two hundred twenty trillion, twenty-two billion, one hundred twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 49 53 98 106 371 742 2597 5194 5573 11146 39011 78022 273077 295369 546154 590738 2067583 4135166 7601081 14473081 15202162 28946162 53207567 106415134 372452969 402857293 744905938 805714586 2820001051 5640002102 19740007357 39480014714 42360824413 84721648826 296525770891 593051541782 2075680396237 2245123693889 4151360792474 4490247387778 15715865857223 31431731714446 110011061000561 220022122001122