Search a number
-
+
11121202021122 = 232617844556729
BaseRepresentation
bin1010000111010101101101…
…0010111100001100000010
31110101011202200122021210200
42201311123102330030002
52424202210204133442
635353002031310030
72225323516312434
oct241653322741402
943334680567720
1011121202021122
1135a8525680316
1212b744407b316
1362895665c80b
142a63aa3b6654
1514444be4934c
hexa1d5b4bc302

11121202021122 has 12 divisors (see below), whose sum is σ = 24095937712470. Its totient is φ = 3707067340368.

The previous prime is 11121202021093. The next prime is 11121202021177. The reversal of 11121202021122 is 22112020212111.

It can be written as a sum of positive squares in only one way, i.e., 10963045480401 + 158156540721 = 3311049^2 + 397689^2 .

It is a super-2 number, since 2×111212020211222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 617844556729 = 11121202021122 / (1 + 1 + 1 + 2 + 1 + 2 + 0 + 2 + 0 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 11121202021095 and 11121202021104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 308922278347 + ... + 308922278382.

Almost surely, 211121202021122 is an apocalyptic number.

11121202021122 is an abundant number, since it is smaller than the sum of its proper divisors (12974735691348).

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

11121202021122 is a wasteful number, since it uses less digits than its factorization.

11121202021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617844556737 (or 617844556734 counting only the distinct ones).

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

Adding to 11121202021122 its reverse (22112020212111), we get a palindrome (33233222233233).

The spelling of 11121202021122 in words is "eleven trillion, one hundred twenty-one billion, two hundred two million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 617844556729 1235689113458 1853533670187 3707067340374 5560601010561 11121202021122