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11221213432144 = 241006169707369
BaseRepresentation
bin1010001101001010010001…
…1100001100100101010000
31110201201220122202101000211
42203102210130030211100
52432322021114312034
635510542043053504
72235464062265302
oct243224434144520
943651818671024
1011221213432144
11363698749a711
1213128b5811294
13635204636131
142ab176b67972
15146d52189d64
hexa34a470c950

11221213432144 has 20 divisors (see below), whose sum is σ = 21743262265140. Its totient is φ = 5610048976640.

The previous prime is 11221213432123. The next prime is 11221213432151. The reversal of 11221213432144 is 44123431212211.

It can be written as a sum of positive squares in 2 ways, for example, as 2377726992144 + 8843486440000 = 1541988^2 + 2973800^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34692709 + ... + 35014660.

It is an arithmetic number, because the mean of its divisors is an integer number (1087163113257).

Almost surely, 211221213432144 is an apocalyptic number.

It is an amenable number.

11221213432144 is a deficient number, since it is larger than the sum of its proper divisors (10522048832996).

11221213432144 is a wasteful number, since it uses less digits than its factorization.

11221213432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69717438 (or 69717432 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

Adding to 11221213432144 its reverse (44123431212211), we get a palindrome (55344644644355).

The spelling of 11221213432144 in words is "eleven trillion, two hundred twenty-one billion, two hundred thirteen million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 10061 20122 40244 80488 160976 69707369 139414738 278829476 557658952 1115317904 701325839509 1402651679018 2805303358036 5610606716072 11221213432144