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11222200101222 = 2341121667343433
BaseRepresentation
bin1010001101001101111101…
…0000000010100101100110
31110201211110102100100120000
42203103133100002211212
52432331031211214342
635511224010522130
72235530402654445
oct243233720024546
943654412310500
1011222200101222
113637343438800
121312b30136346
13635330b865a6
142ab22bc04d5c
15146dadad644c
hexa34df402966

11222200101222 has 120 divisors (see below), whose sum is σ = 27656524343448. Its totient is φ = 3398616809280.

The previous prime is 11222200101181. The next prime is 11222200101227. The reversal of 11222200101222 is 22210100222211.

It is a happy number.

11222200101222 is a `hidden beast` number, since 1 + 122 + 220 + 0 + 101 + 222 = 666.

It is a super-2 number, since 2×112222001012222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11222200101195 and 11222200101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222200101227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32504818 + ... + 32848250.

Almost surely, 211222200101222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222200101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828262171724).

11222200101222 is an abundant number, since it is smaller than the sum of its proper divisors (16434324242226).

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

11222200101222 is a wasteful number, since it uses less digits than its factorization.

11222200101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345136 (or 345116 counting only the distinct ones).

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

Adding to 11222200101222 its reverse (22210100222211), we get a palindrome (33432300323433).

The spelling of 11222200101222 in words is "eleven trillion, two hundred twenty-two billion, two hundred million, one hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1667 1782 2178 3267 3334 5001 6534 9801 10002 15003 18337 19602 30006 36674 45009 55011 90018 110022 135027 165033 201707 270054 330066 343433 403414 495099 605121 686866 990198 1030299 1210242 1485297 1815363 2060598 2970594 3090897 3630726 3777763 5446089 6181794 7555526 9272691 10892178 11333289 16338267 18545382 22666578 27818073 32676534 33999867 41555393 55636146 67999734 83110786 101999601 124666179 203999202 249332358 305998803 373998537 572502811 611997606 747997074 1121995611 1145005622 1717508433 2243991222 3365986833 3435016866 5152525299 6297530921 6731973666 10305050598 12595061842 15457575897 18892592763 30915151794 37785185526 46372727691 56677778289 69272840131 92745455382 113355556578 138545680262 170033334867 207818520393 340066669734 415637040786 510100004601 623455561179 1020200009202 1246911122358 1870366683537 3740733367074 5611100050611 11222200101222