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11222011202112 = 263289292181953
BaseRepresentation
bin1010001101001101001111…
…1111011100101001000000
31110201210222020220021200200
42203103103333130221000
52432330134331431422
635511153142045200
72235522620233254
oct243232377345100
943653866807620
1011222011202112
113637256848037
121312a98a19800
136353009b7c79
142ab210ab2264
15146d9c2212ac
hexa34d3fdca40

11222011202112 has 84 divisors (see below), whose sum is σ = 32169486062220. Its totient is φ = 3740249751552.

The previous prime is 11222011202093. The next prime is 11222011202159. The reversal of 11222011202112 is 21120211022211.

11222011202112 is a `hidden beast` number, since 112 + 220 + 1 + 120 + 211 + 2 = 666.

11222011202112 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 2068143114816 + 9153868087296 = 1438104^2 + 3025536^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4052128 + ... + 6234080.

Almost surely, 211222011202112 is an apocalyptic number.

11222011202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11222011202112 is an abundant number, since it is smaller than the sum of its proper divisors (20947474860108).

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

11222011202112 is a wasteful number, since it uses less digits than its factorization.

11222011202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190900 (or 2190887 counting only the distinct ones).

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

Adding to 11222011202112 its reverse (21120211022211), we get a palindrome (32342222224323).

The spelling of 11222011202112 in words is "eleven trillion, two hundred twenty-two billion, eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 8929 17858 26787 35716 53574 71432 80361 107148 142864 160722 214296 285728 321444 428592 571456 642888 857184 1285776 1714368 2181953 2571552 4363906 5143104 6545859 8727812 13091718 17455624 19637577 26183436 34911248 39275154 52366872 69822496 78550308 104733744 139644992 157100616 209467488 314201232 418934976 628402464 1256804928 19482658337 38965316674 58447975011 77930633348 116895950022 155861266696 175343925033 233791900044 311722533392 350687850066 467583800088 623445066784 701375700132 935167600176 1246890133568 1402751400264 1870335200352 2805502800528 3740670400704 5611005601056 11222011202112