Search a number
-
+
12421443562011 = 32115910326976753
BaseRepresentation
bin1011010011000001011110…
…1110110010101000011011
31121222110220202111021211200
42310300113232302220123
53112003104022441021
642230155444125243
72421263644125021
oct264602756625033
947873822437750
1012421443562011
113a599a5078780
121487438396823
136c144c7c7253
1430d2b5a78711
1516819c182126
hexb4c17bb2a1b

12421443562011 has 96 divisors (see below), whose sum is σ = 20173161715200. Its totient is φ = 7301362498560.

The previous prime is 12421443561997. The next prime is 12421443562061. The reversal of 12421443562011 is 11026534412421.

12421443562011 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 443 + 5 + 6 + 201 + 1 = 666.

It is not a de Polignac number, because 12421443562011 - 235 = 12387083823643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12421443562061) 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 95 ways as a sum of consecutive naturals, for example, 161798211 + ... + 161874963.

It is an arithmetic number, because the mean of its divisors is an integer number (210137101200).

Almost surely, 212421443562011 is an apocalyptic number.

12421443562011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12421443562011 is a deficient number, since it is larger than the sum of its proper divisors (7751718153189).

12421443562011 is a wasteful number, since it uses less digits than its factorization.

12421443562011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77201 (or 77198 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 12421443562011 its reverse (11026534412421), we get a palindrome (23447977974432).

The spelling of 12421443562011 in words is "twelve trillion, four hundred twenty-one billion, four hundred forty-three million, five hundred sixty-two thousand, eleven".

Divisors: 1 3 9 11 33 59 99 103 177 269 309 531 649 807 927 1133 1947 2421 2959 3399 5841 6077 8877 10197 15871 18231 26631 27707 47613 54693 66847 76753 83121 142839 174581 200541 230259 249363 304777 523743 601623 690777 844283 914331 1571229 1634713 2532849 2742993 4528427 4904139 7598547 7905559 13585281 14712417 17981843 20646557 23716677 40755843 49812697 53945529 61939671 71150031 86961149 149438091 161836587 185819013 227112127 260883447 448314273 466427981 681336381 782650341 1218146863 1399283943 2044009143 2126595371 3654440589 4197851829 5130707791 6379786113 10963321767 13399615493 15392123373 19139358339 23392549081 40198846479 46176370119 70177647243 120596539437 125469126889 210532941729 376407380667 1129222142001 1380160395779 4140481187337 12421443562011