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1105140141 = 32721183137
BaseRepresentation
bin100000111011111…
…0001100110101101
32212000111221021100
41001313301212231
54230403441031
6301354553313
736246351630
oct10167614655
92760457240
101105140141
11517906166
1226a138839
13147c604a1
14a6ab9c17
156704dde6
hex41df19ad

1105140141 has 24 divisors (see below), whose sum is σ = 1833026624. Its totient is φ = 628508160.

The previous prime is 1105140121. The next prime is 1105140227. The reversal of 1105140141 is 1410415011.

1105140141 is a `hidden beast` number, since 1 + 10 + 514 + 0 + 141 = 666.

It is not a de Polignac number, because 1105140141 - 26 = 1105140077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105140121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28276 + ... + 54861.

Almost surely, 21105140141 is an apocalyptic number.

It is an amenable number.

1105140141 is a deficient number, since it is larger than the sum of its proper divisors (727886483).

1105140141 is a wasteful number, since it uses less digits than its factorization.

1105140141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83361 (or 83358 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1105140141 is about 33243.6481301316. The cubic root of 1105140141 is about 1033.8855160347.

Adding to 1105140141 its reverse (1410415011), we get a palindrome (2515555152).

It can be divided in two parts, 1105 and 140141, that added together give a triangular number (141246 = T531).

The spelling of 1105140141 in words is "one billion, one hundred five million, one hundred forty thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 211 633 1477 1899 4431 13293 83137 249411 581959 748233 1745877 5237631 17541907 52625721 122793349 157877163 368380047 1105140141