Search a number
-
+
11121202001221 = 131782960702269
BaseRepresentation
bin1010000111010101101101…
…0010110111010101000101
31110101011202200121021111121
42201311123102313111011
52424202210203014341
635353002031033541
72225323516200424
oct241653322672505
943334680537447
1011121202001221
1135a8525667374
1212b744406b8b1
13628956653740
142a63aa3ad2bb
1514444be434d1
hexa1d5b4b7545

11121202001221 has 16 divisors (see below), whose sum is σ = 12696486793200. Its totient is φ = 9650203757568.

The previous prime is 11121202001141. The next prime is 11121202001251. The reversal of 11121202001221 is 12210020212111.

It can be written as a sum of positive squares in 8 ways, for example, as 978346504996 + 10142855496225 = 989114^2 + 3184785^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121202001221 - 27 = 11121202001093 is a prime.

It is a super-2 number, since 2×111212020012212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121202001195 and 11121202001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121202001251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30167926 + ... + 30534343.

It is an arithmetic number, because the mean of its divisors is an integer number (793530424575).

Almost surely, 211121202001221 is an apocalyptic number.

It is an amenable number.

11121202001221 is a deficient number, since it is larger than the sum of its proper divisors (1575284791979).

11121202001221 is a wasteful number, since it uses less digits than its factorization.

11121202001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60703128.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11121202001221 its reverse (12210020212111), we get a palindrome (23331222213332).

The spelling of 11121202001221 in words is "eleven trillion, one hundred twenty-one billion, two hundred two million, one thousand, two hundred twenty-one".

Divisors: 1 13 17 221 829 10777 14093 183209 60702269 789129497 1031938573 13415201449 50322181001 654188353013 855477077017 11121202001221