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1106158113 = 3523474211
BaseRepresentation
bin100000111101110…
…1010001000100001
32212002102122200000
41001323222020201
54231134024423
6301432450213
736261121524
oct10173521041
92762378600
101106158113
11518440a65
1226a549969
13148228938
14a6ca2bbb
15671a0843
hex41eea221

1106158113 has 48 divisors (see below), whose sum is σ = 1766209536. Its totient is φ = 690204240.

The previous prime is 1106158103. The next prime is 1106158129. The reversal of 1106158113 is 3118516011.

It is a happy number.

1106158113 is a `hidden beast` number, since 1 + 10 + 61 + 581 + 13 = 666.

It is not a de Polignac number, because 1106158113 - 212 = 1106154017 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1106158103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260578 + ... + 264788.

It is an arithmetic number, because the mean of its divisors is an integer number (36796032).

Almost surely, 21106158113 is an apocalyptic number.

It is an amenable number.

1106158113 is a deficient number, since it is larger than the sum of its proper divisors (660051423).

1106158113 is an equidigital number, since it uses as much as digits as its factorization.

1106158113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1106158113 is about 33258.9553804686. The cubic root of 1106158113 is about 1034.2028644813.

The spelling of 1106158113 in words is "one billion, one hundred six million, one hundred fifty-eight thousand, one hundred thirteen".

Divisors: 1 3 9 23 27 47 69 81 141 207 243 423 621 1081 1269 1863 3243 3807 4211 5589 9729 11421 12633 29187 37899 87561 96853 113697 197917 262683 290559 341091 593751 871677 1023273 1781253 2615031 4552091 5343759 7845093 13656273 16031277 23535279 40968819 48093831 122906457 368719371 1106158113