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1100042112 = 27313220361
BaseRepresentation
bin100000110010001…
…0100111110000000
32211122220221002110
41001210110332000
54223102321422
6301053415320
736155126601
oct10144247600
92748827073
101100042112
11514a43a14
1226849a540
13146b96bc0
14a614dda8
156689360c
hex41914f80

1100042112 has 64 divisors (see below), whose sum is σ = 3146769360. Its totient is φ = 338472960.

The previous prime is 1100042063. The next prime is 1100042131. The reversal of 1100042112 is 2112400011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105189 + ... + 115172.

Almost surely, 21100042112 is an apocalyptic number.

1100042112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100042112 is an abundant number, since it is smaller than the sum of its proper divisors (2046727248).

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

1100042112 is a wasteful number, since it uses less digits than its factorization.

1100042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220391 (or 220379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1100042112 is about 33166.8827597650. The cubic root of 1100042112 is about 1032.2932884338.

Adding to 1100042112 its reverse (2112400011), we get a palindrome (3212442123).

The spelling of 1100042112 in words is "one billion, one hundred million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 220361 440722 661083 881444 1322166 1762888 2644332 2864693 3525776 5288664 5729386 7051552 8594079 10577328 11458772 14103104 17188158 21154656 22917544 28206208 34376316 42309312 45835088 68752632 84618624 91670176 137505264 183340352 275010528 366680704 550021056 1100042112