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2003221022112 = 25327988045931
BaseRepresentation
bin11101001001101001010…
…001110000010110100000
321002111122220202201122100
4131021221101300112200
5230310044040201422
64132133402410400
7264504453512052
oct35115121602640
97074586681570
102003221022112
1170261a052432
122842a2800a00
13116b9798360b
146cd5658b8d2
1537195b7e7ac
hex1d2694705a0

2003221022112 has 72 divisors (see below), whose sum is σ = 5768769464640. Its totient is φ = 659287923840.

The previous prime is 2003221022111. The next prime is 2003221022119. The reversal of 2003221022112 is 2112201223002.

2003221022112 is a `hidden beast` number, since 200 + 32 + 210 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2003221022111) 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 11 ways as a sum of consecutive naturals, for example, 44000214 + ... + 44045717.

It is an arithmetic number, because the mean of its divisors is an integer number (80121798120).

Almost surely, 22003221022112 is an apocalyptic number.

It is an amenable number.

2003221022112 is an abundant number, since it is smaller than the sum of its proper divisors (3765548442528).

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

2003221022112 is a wasteful number, since it uses less digits than its factorization.

2003221022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88046026 (or 88046015 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2003221022112 its reverse (2112201223002), we get a palindrome (4115422245114).

The spelling of 2003221022112 in words is "two trillion, three billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 88045931 176091862 264137793 352183724 528275586 704367448 792413379 1056551172 1408734896 1584826758 2113102344 2817469792 3169653516 4226204688 6339307032 6955628549 8452409376 12678614064 13911257098 20866885647 25357228128 27822514196 41733771294 55645028392 62600656941 83467542588 111290056784 125201313882 166935085176 222580113568 250402627764 333870170352 500805255528 667740340704 1001610511056 2003221022112