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2003112103005 = 325133424123253
BaseRepresentation
bin11101001001100010110…
…010010000110001011101
321002111101022211001201100
4131021202302100301131
5230304333144244010
64132114512103313
7264501661641456
oct35114262206135
97074338731640
102003112103005
11702573619942
12284272234b39
13116b7b239240
146cd45d1812d
153718b3172c0
hex1d262c90c5d

2003112103005 has 24 divisors (see below), whose sum is σ = 3739142593368. Its totient is φ = 986147496576.

The previous prime is 2003112102983. The next prime is 2003112103007. The reversal of 2003112103005 is 5003012113002.

It can be written as a sum of positive squares in 4 ways, for example, as 292044048921 + 1711068054084 = 540411^2 + 1308078^2 .

It is not a de Polignac number, because 2003112103005 - 26 = 2003112102941 is a prime.

It is a super-2 number, since 2×20031121030052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003112103007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1712061042 + ... + 1712062211.

It is an arithmetic number, because the mean of its divisors is an integer number (155797608057).

Almost surely, 22003112103005 is an apocalyptic number.

It is an amenable number.

2003112103005 is a deficient number, since it is larger than the sum of its proper divisors (1736030490363).

2003112103005 is a wasteful number, since it uses less digits than its factorization.

2003112103005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424123277 (or 3424123274 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 2003112103005 its reverse (5003012113002), we get a palindrome (7006124216007).

The spelling of 2003112103005 in words is "two trillion, three billion, one hundred twelve million, one hundred three thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 3424123253 10272369759 17120616265 30817109277 44513602289 51361848795 133540806867 154085546385 222568011445 400622420601 667704034335 2003112103005