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11123135541 = 34721119293
BaseRepresentation
bin10100101101111110…
…11001010000110101
31001201012010211110000
422112333121100311
5140240010314131
65035423221513
7542433043410
oct122677312065
931635124400
1011123135541
1147987a1401
1221a5147899
1310835ab80b
147773a4b77
154517b3ce6
hex296fd9435

11123135541 has 40 divisors (see below), whose sum is σ = 19000802304. Its totient is φ = 6352382880.

The previous prime is 11123135537. The next prime is 11123135557. The reversal of 11123135541 is 14553132111.

11123135541 is a `hidden beast` number, since 1 + 112 + 3 + 1 + 3 + 5 + 541 = 666.

It is not a de Polignac number, because 11123135541 - 22 = 11123135537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123135561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192291 + ... + 1201583.

Almost surely, 211123135541 is an apocalyptic number.

It is an amenable number.

11123135541 is a deficient number, since it is larger than the sum of its proper divisors (7877666763).

11123135541 is an equidigital number, since it uses as much as digits as its factorization.

11123135541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423 (or 11414 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

Adding to 11123135541 its reverse (14553132111), we get a palindrome (25676267652).

The spelling of 11123135541 in words is "eleven billion, one hundred twenty-three million, one hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 2111 6333 9293 14777 18999 27879 44331 56997 65051 83637 132993 170991 195153 250911 398979 585459 752733 1196937 1756377 5269131 19617523 58852569 137322661 176557707 411967983 529673121 1235903949 1589019363 3707711847 11123135541