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11122032121002 = 23211414672933717
BaseRepresentation
bin1010000111011000110011…
…0001100001010010101010
31110101020220112121201202200
42201312030301201102222
52424210410210333002
635353220243241030
72225353216121625
oct241661461412252
943336815551680
1011122032121002
1135a89111aa680
1212b7636079176
13628a59620c8a
142a6448738dbc
15144499c69b1c
hexa1d8cc614aa

11122032121002 has 96 divisors (see below), whose sum is σ = 26987295351744. Its totient is φ = 3281067974400.

The previous prime is 11122032120937. The next prime is 11122032121019. The reversal of 11122032121002 is 20012123022111.

11122032121002 is a `hidden beast` number, since 1 + 112 + 20 + 321 + 210 + 0 + 2 = 666.

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

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, 2324248 + ... + 5257964.

It is an arithmetic number, because the mean of its divisors is an integer number (281117659914).

Almost surely, 211122032121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122032121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493647675872).

11122032121002 is an abundant number, since it is smaller than the sum of its proper divisors (15865263230742).

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

11122032121002 is a wasteful number, since it uses less digits than its factorization.

11122032121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934244 (or 2934241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11122032121002 its reverse (20012123022111), we get a palindrome (31134155143113).

The spelling of 11122032121002 in words is "eleven trillion, one hundred twenty-two billion, thirty-two million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 467 738 902 934 1353 1401 2706 2802 4059 4203 5137 8118 8406 10274 15411 19147 30822 38294 46233 57441 92466 114882 172323 210617 344646 421234 631851 1263702 1895553 2933717 3791106 5867434 8801151 17602302 26403453 32270887 52806906 64541774 96812661 120282397 193625322 240564794 290437983 360847191 580875966 721694382 1082541573 1323106367 1370045839 2165083146 2646212734 2740091678 3969319101 4110137517 7938638202 8220275034 11907957303 12330412551 15070504229 23815914606 24660825102 30141008458 45211512687 56171879399 90423025374 112343758798 135634538061 168515638197 271269076122 337031276394 505546914591 617890673389 1011093829182 1235781346778 1853672020167 3707344040334 5561016060501 11122032121002