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11121110222022 = 234474567319819
BaseRepresentation
bin1010000111010101010111…
…0100110000010011000110
31110101011112021220102010000
42201311111310300103012
52424202013204101042
635352544551542130
72225321323114533
oct241652564602306
943334467812100
1011121110222022
1135a8488880299
1212b741938a946
1362894062aa18
142a639c11bd8a
15144443d6474c
hexa1d55d304c6

11121110222022 has 80 divisors (see below), whose sum is σ = 25455379530240. Its totient is φ = 3627357846192.

The previous prime is 11121110221889. The next prime is 11121110222041. The reversal of 11121110222022 is 22022201112111.

11121110222022 is a `hidden beast` number, since 111 + 211 + 102 + 220 + 22 = 666.

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 = 11121110221986 and 11121110222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34613229 + ... + 34933047.

It is an arithmetic number, because the mean of its divisors is an integer number (318192244128).

Almost surely, 211121110222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121110222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727689765120).

11121110222022 is an abundant number, since it is smaller than the sum of its proper divisors (14334269308218).

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

11121110222022 is a wasteful number, since it uses less digits than its factorization.

11121110222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324447 (or 324438 counting only the distinct ones).

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

Adding to 11121110222022 its reverse (22022201112111), we get a palindrome (33143311334133).

The spelling of 11121110222022 in words is "eleven trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 3807 4567 7614 9134 13701 27402 41103 82206 123309 214649 246618 319819 369927 429298 639638 643947 739854 959457 1287894 1918914 1931841 2878371 3863682 5756742 5795523 8635113 11591046 15031493 17270226 17386569 25905339 30062986 34773138 45094479 51810678 90188958 135283437 270566874 405850311 811700622 1217550933 1460613373 2435101866 2921226746 4381840119 8763680238 13145520357 26291040714 39436561071 68648828531 78873122142 118309683213 137297657062 205946485593 236619366426 411892971186 617839456779 1235678913558 1853518370337 3707036740674 5560555111011 11121110222022