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11021112211122 = 23213109343091281
BaseRepresentation
bin1010000001100000110101…
…1110100111011010110010
31110000121102021000010101200
42200120031132213122302
52421032214211223442
635235010135312030
72215151302052256
oct240301536473262
943017367003350
1011021112211122
11356a033583682
12129bb7021b616
1361c395366780
142a15d3458266
15141a3edbe34c
hexa060d7a76b2

11021112211122 has 48 divisors (see below), whose sum is σ = 25739456929368. Its totient is φ = 3388008798720.

The previous prime is 11021112211079. The next prime is 11021112211129. The reversal of 11021112211122 is 22111221112011.

It is a happy number.

11021112211122 is a `hidden beast` number, since 110 + 211 + 1 + 221 + 1 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10356611712561 + 664500498561 = 3218169^2 + 815169^2 .

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 = 11021112211095 and 11021112211104.

It is not an unprimeable number, because it can be changed into a prime (11021112211129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21289879 + ... + 21801402.

Almost surely, 211021112211122 is an apocalyptic number.

11021112211122 is an abundant number, since it is smaller than the sum of its proper divisors (14718344718246).

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

11021112211122 is a wasteful number, since it uses less digits than its factorization.

11021112211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43092395 (or 43092392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11021112211122 its reverse (22111221112011), we get a palindrome (33132333323133).

The spelling of 11021112211122 in words is "eleven trillion, twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1093 2186 3279 6558 9837 14209 19674 28418 42627 85254 127881 255762 43091281 86182562 129273843 258547686 387821529 560186653 775643058 1120373306 1680559959 3361119918 5041679877 10083359754 47098770133 94197540266 141296310399 282592620798 423888931197 612284011729 847777862394 1224568023458 1836852035187 3673704070374 5510556105561 11021112211122