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11212111110222 = 23211373049501953
BaseRepresentation
bin1010001100101000010111…
…1001100110000001001110
31110200212102022010111201200
42203022011321212001032
52432144400421011342
635502434524450330
72235022364651511
oct243120571460116
943625368114650
1011212111110222
113633036471510
121310b953a99a6
136343b390b529
142aa951d18d78
151469bceea94c
hexa3285e6604e

11212111110222 has 96 divisors (see below), whose sum is σ = 27226587304800. Its totient is φ = 3304691343360.

The previous prime is 11212111110133. The next prime is 11212111110251. The reversal of 11212111110222 is 22201111121211.

It is a happy number.

11212111110222 is a `hidden beast` number, since 1 + 121 + 211 + 1 + 110 + 222 = 666.

It is a super-2 number, since 2×112121111102222 (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 = 11212111110195 and 11212111110204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22085998 + ... + 22587950.

It is an arithmetic number, because the mean of its divisors is an integer number (283610284425).

Almost surely, 211212111110222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212111110222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613293652400).

11212111110222 is an abundant number, since it is smaller than the sum of its proper divisors (16014476194578).

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

11212111110222 is a wasteful number, since it uses less digits than its factorization.

11212111110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505058 (or 505055 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11212111110222 its reverse (22201111121211), we get a palindrome (33413222231433).

The spelling of 11212111110222 in words is "eleven trillion, two hundred twelve billion, one hundred eleven million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3049 3663 6098 7326 9147 18294 27441 33539 54882 67078 100617 112813 201234 225626 301851 338439 501953 603702 676878 1003906 1015317 1240943 1505859 2030634 2481886 3011718 3722829 4517577 5521483 7445658 9035154 11042966 11168487 16564449 18572261 22336974 33128898 37144522 49693347 55716783 99386694 111433566 167150349 204294871 334300698 408589742 612884613 1225769226 1530454697 1838653839 3060909394 3677307678 4591364091 9182728182 13774092273 16835001667 27548184546 33670003334 50505005001 56626823789 101010010002 113253647578 151515015003 169880471367 303030030006 339760942734 509641414101 622895061679 1019282828202 1245790123358 1868685185037 3737370370074 5606055555111 11212111110222