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2003442112 = 267172331129
BaseRepresentation
bin111011101101010…
…0001100111000000
312011121211101220201
41313122201213000
513100340121422
6530444414544
7100434656050
oct16732414700
95147741821
102003442112
11938988791
1247ab47454
1325c0b1009
14150113560
15bad42727
hex776a19c0

2003442112 has 112 divisors (see below), whose sum is σ = 4835712960. Its totient is φ = 803930112.

The previous prime is 2003442101. The next prime is 2003442151. The reversal of 2003442112 is 2112443002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20034421122 = 8027560592270041088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2003442112.

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, 1773964 + ... + 1775092.

Almost surely, 22003442112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417856480).

2003442112 is an abundant number, since it is smaller than the sum of its proper divisors (2832270848).

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

2003442112 is a wasteful number, since it uses less digits than its factorization.

2003442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2003442112 is about 44759.8269880481. The cubic root of 2003442112 is about 1260.6434338596.

Adding to 2003442112 its reverse (2112443002), we get a palindrome (4115885114).

The spelling of 2003442112 in words is "two billion, three million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 233 238 272 448 466 476 544 932 952 1088 1129 1631 1864 1904 2258 3262 3728 3808 3961 4516 6524 7456 7616 7903 7922 9032 13048 14912 15806 15844 18064 19193 26096 27727 31612 31688 36128 38386 52192 55454 63224 63376 72256 76772 104384 110908 126448 126752 134351 153544 221816 252896 253504 263057 268702 307088 443632 505792 526114 537404 614176 887264 1052228 1074808 1228352 1774528 1841399 2104456 2149616 3682798 4208912 4299232 4471969 7365596 8417824 8598464 8943938 14731192 16835648 17887876 29462384 31303783 35775752 58924768 62607566 71551504 117849536 125215132 143103008 250430264 286206016 500860528 1001721056 2003442112