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1106317332 = 223319539141
BaseRepresentation
bin100000111110001…
…0001000000010100
32212002201202002000
41001330101000110
54231204123312
6301440115300
736262353651
oct10174210024
92762652060
101106317332
1151853a64a
1226a605b30
13148283253
14a6d04c28
15671d2adc
hex41f11014

1106317332 has 48 divisors (see below), whose sum is σ = 3019195200. Its totient is φ = 349362720.

The previous prime is 1106317327. The next prime is 1106317361. The reversal of 1106317332 is 2337136011.

1106317332 is a `hidden beast` number, since 1 + 10 + 6 + 317 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1106317296 and 1106317305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267519 + ... + 271622.

It is an arithmetic number, because the mean of its divisors is an integer number (62899900).

Almost surely, 21106317332 is an apocalyptic number.

1106317332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1106317332 is an abundant number, since it is smaller than the sum of its proper divisors (1912877868).

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

1106317332 is a wasteful number, since it uses less digits than its factorization.

1106317332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539173 (or 539165 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1106317332 is about 33261.3489203309. The cubic root of 1106317332 is about 1034.2524827182.

The spelling of 1106317332 in words is "one billion, one hundred six million, three hundred seventeen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 539141 1078282 1617423 2156564 3234846 4852269 6469692 9704538 10243679 14556807 19409076 20487358 29113614 30731037 40974716 58227228 61462074 92193111 122924148 184386222 276579333 368772444 553158666 1106317332