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11205404014212 = 2232417591737137
BaseRepresentation
bin1010001100001111011000…
…1000000011011010000100
31110200020002212112201200100
42203003312020003122010
52432042131411423322
635455405212244100
72234364233405652
oct243036610033204
943606085481610
1011205404014212
113630204494a61
12130b823170630
136338851ba575
142aa4b7245dd2
1514672928cdac
hexa30f6203684

11205404014212 has 36 divisors (see below), whose sum is σ = 29015619341436. Its totient is φ = 3644033825280.

The previous prime is 11205404014141. The next prime is 11205404014237. The reversal of 11205404014212 is 21241040450211.

11205404014212 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 5 + 40 + 401 + 4 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1179669687876 + 10025734326336 = 1086126^2 + 3166344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112054040142122 (a number of 27 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3795867093 + ... + 3795870044.

It is an arithmetic number, because the mean of its divisors is an integer number (805989426151).

Almost surely, 211205404014212 is an apocalyptic number.

11205404014212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11205404014212 is an abundant number, since it is smaller than the sum of its proper divisors (17810215327224).

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

11205404014212 is a wasteful number, since it uses less digits than its factorization.

11205404014212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591737188 (or 7591737183 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11205404014212 its reverse (21241040450211), we get a palindrome (32446444464423).

The spelling of 11205404014212 in words is "eleven trillion, two hundred five billion, four hundred four million, fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 7591737137 15183474274 22775211411 30366948548 45550422822 68325634233 91100845644 136651268466 273302536932 311261222617 622522445234 933783667851 1245044890468 1867567335702 2801351003553 3735134671404 5602702007106 11205404014212