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22112221011102 = 232171991417325621
BaseRepresentation
bin1010000011100011001110…
…00101000001110010011110
32220021220111200221101110100
411001301213011001302132
510344241312034323402
6115010114124521530
74441361310256305
oct501614705016236
986256450841410
1022112221011102
1170558163294a2
1225915b60b02a6
13c45234222051
14566346c7b43c
152852c9e2871c
hex141c67141c9e

22112221011102 has 96 divisors (see below), whose sum is σ = 50988538411200. Its totient is φ = 6901550853120.

The previous prime is 22112221011077. The next prime is 22112221011107. The reversal of 22112221011102 is 20111012221122.

22112221011102 is a `hidden beast` number, since 221 + 122 + 210 + 1 + 110 + 2 = 666.

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 (22112221011107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863037852 + ... + 863063472.

It is an arithmetic number, because the mean of its divisors is an integer number (531130608450).

Almost surely, 222112221011102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112221011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25494269205600).

22112221011102 is an abundant number, since it is smaller than the sum of its proper divisors (28876317400098).

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

22112221011102 is a wasteful number, since it uses less digits than its factorization.

22112221011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40018 (or 40015 counting only the distinct ones).

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

Adding to 22112221011102 its reverse (20111012221122), we get a palindrome (42223233232224).

The spelling of 22112221011102 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 199 306 398 597 1194 1791 3383 3582 6766 10149 14173 20298 25621 28346 30447 42519 51242 60894 76863 85038 127557 153726 230589 240941 255114 435557 461178 481882 722823 871114 1306671 1445646 2168469 2613342 2820427 3920013 4336938 5098579 5640854 7840026 8461281 10197158 15295737 16922562 25383843 30591474 45887211 47947259 50767686 86675843 91774422 95894518 143841777 173351686 260027529 287683554 363126433 431525331 520055058 726252866 780082587 863050662 1089379299 1560165174 2178758598 3268137897 6173149361 6536275794 12346298722 18519448083 37038896166 55558344249 72262160167 111116688498 144524320334 216786480501 433572961002 650359441503 1228456722839 1300718883006 2456913445678 3685370168517 7370740337034 11056110505551 22112221011102