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11121122201202 = 23213151427173693
BaseRepresentation
bin1010000111010101011010…
…0010011100111001110010
31110101011120010110000110100
42201311112202130321302
52424202024240414302
635352550100413230
72225321526666336
oct241652642347162
943334503400410
1011121122201202
1135a8494612442
1212b74213a7216
13628942c633b0
142a639d9597c6
15144444e2dd1c
hexa1d5689ce72

11121122201202 has 96 divisors (see below), whose sum is σ = 26127605177856. Its totient is φ = 3398380272000.

The previous prime is 11121122201197. The next prime is 11121122201209. The reversal of 11121122201202 is 20210222112111.

11121122201202 is a `hidden beast` number, since 111 + 211 + 2 + 220 + 120 + 2 = 666.

11121122201202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11121122201209) 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, 150874668 + ... + 150948360.

It is an arithmetic number, because the mean of its divisors is an integer number (272162553936).

Almost surely, 211121122201202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121122201202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063802588928).

11121122201202 is an abundant number, since it is smaller than the sum of its proper divisors (15006482976654).

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

11121122201202 is a wasteful number, since it uses less digits than its factorization.

11121122201202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78136 (or 78133 counting only the distinct ones).

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

Adding to 11121122201202 its reverse (20210222112111), we get a palindrome (31331344313313).

The spelling of 11121122201202 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1359 1963 2718 3926 4271 5889 8542 11778 12813 17667 25626 35334 38439 55523 73693 76878 111046 147386 166569 221079 333138 442158 499707 644921 663237 958009 999414 1289842 1326474 1916018 1934763 2874027 3869526 5748054 5804289 8383973 8622081 11127643 11608578 16767946 17244162 22255286 25151919 33382929 50303838 66765858 75455757 100148787 144659359 150911514 200297574 289318718 314742803 433978077 629485606 867956154 944228409 1301934231 1888456818 2603868462 2832685227 4091656439 5665370454 8183312878 12274969317 24549938634 36824907951 47526163253 73649815902 95052326506 142578489759 285156979518 427735469277 617840122289 855470938554 1235680244578 1853520366867 3707040733734 5560561100601 11121122201202