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11221242354 = 2327212722497
BaseRepresentation
bin10100111001101011…
…01001000111110010
31001222000202011200200
422130311221013302
5140440114223404
65053250100030
7545033662200
oct123465510762
931860664620
1011221242354
11483910a513
122211b7a616
13109aa0b69a
14786422070
1545a1e2839
hex29cd691f2

11221242354 has 36 divisors (see below), whose sum is σ = 28282113054. Its totient is φ = 3206068992.

The previous prime is 11221242311. The next prime is 11221242359. The reversal of 11221242354 is 45324212211.

11221242354 is a `hidden beast` number, since 11 + 221 + 2 + 423 + 5 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6662967129 + 4558275225 = 81627^2 + 67515^2 .

It is a super-3 number, since 3×112212423543 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11221242359) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6360367 + ... + 6362130.

Almost surely, 211221242354 is an apocalyptic number.

11221242354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11221242354 is an abundant number, since it is smaller than the sum of its proper divisors (17060870700).

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

11221242354 is a wasteful number, since it uses less digits than its factorization.

11221242354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722519 (or 12722509 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 11221242354 its reverse (45324212211), we get a palindrome (56545454565).

The spelling of 11221242354 in words is "eleven billion, two hundred twenty-one million, two hundred forty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 12722497 25444994 38167491 76334982 89057479 114502473 178114958 229004946 267172437 534344874 623402353 801517311 1246804706 1603034622 1870207059 3740414118 5610621177 11221242354