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11121120202122 = 2327253812343241
BaseRepresentation
bin1010000111010101011001…
…1010110100110110001010
31110101011112222200110020100
42201311112122310312022
52424202023232431442
635352545545510230
72225321504002200
oct241652632646612
943334488613210
1011121120202122
1135a8493477507
1212b74207a2376
136289427134c8
142a639d599070
15144444b8684c
hexa1d566b4d8a

11121120202122 has 72 divisors (see below), whose sum is σ = 28034983131012. Its totient is φ = 3176871062400.

The previous prime is 11121120202121. The next prime is 11121120202177. The reversal of 11121120202122 is 22120202112111.

11121120202122 is a `hidden beast` number, since 111 + 211 + 20 + 202 + 122 = 666.

11121120202122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10971669147201 + 149451054921 = 3312351^2 + 386589^2 .

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 = 11121120202095 and 11121120202104.

It is not an unprimeable number, because it can be changed into a prime (11121120202121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3574422 + ... + 5917662.

Almost surely, 211121120202122 is an apocalyptic number.

11121120202122 is an abundant number, since it is smaller than the sum of its proper divisors (16913862928890).

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

11121120202122 is a wasteful number, since it uses less digits than its factorization.

11121120202122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348644 (or 2348634 counting only the distinct ones).

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

Adding to 11121120202122 its reverse (22120202112111), we get a palindrome (33241322314233).

The spelling of 11121120202122 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 5381 10762 16143 32286 37667 48429 75334 96858 113001 226002 263669 339003 527338 678006 791007 1582014 2343241 2373021 4686482 4746042 7029723 14059446 16402687 21089169 32805374 42178338 49208061 98416122 114818809 147624183 229637618 295248366 344456427 688912854 1033369281 2066738562 12608979821 25217959642 37826939463 75653878926 88262858747 113480818389 176525717494 226961636778 264788576241 529577152482 617840011229 794365728723 1235680022458 1588731457446 1853520033687 3707040067374 5560560101061 11121120202122