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11122442141004 = 22321718173925067
BaseRepresentation
bin1010000111011010010100…
…1101100111110101001100
31110101021222010010220110200
42201312211031213311030
52424212230142003004
635353325051333500
72225366325205335
oct241664515476514
943337863126420
1011122442141004
1135a9001699787
1212b772b451290
13628ac356026c
142a6486d8b28c
151444c0c5c239
hexa1da5367d4c

11122442141004 has 36 divisors (see below), whose sum is σ = 29768889261384. Its totient is φ = 3489393612672.

The previous prime is 11122442141003. The next prime is 11122442141047. The reversal of 11122442141004 is 40014124422111.

11122442141004 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 244 + 2 + 1 + 410 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11122442141003) 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 11 ways as a sum of consecutive naturals, for example, 9086961922 + ... + 9086963145.

It is an arithmetic number, because the mean of its divisors is an integer number (826913590594).

Almost surely, 211122442141004 is an apocalyptic number.

It is an amenable number.

11122442141004 is an abundant number, since it is smaller than the sum of its proper divisors (18646447120380).

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

11122442141004 is a wasteful number, since it uses less digits than its factorization.

11122442141004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18173925094 (or 18173925089 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11122442141004 its reverse (40014124422111), we get a palindrome (51136566563115).

The spelling of 11122442141004 in words is "eleven trillion, one hundred twenty-two billion, four hundred forty-two million, one hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 18173925067 36347850134 54521775201 72695700268 109043550402 163565325603 218087100804 308956726139 327130651206 617913452278 654261302412 926870178417 1235826904556 1853740356834 2780610535251 3707480713668 5561221070502 11122442141004