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2003123330120 = 2351129156984587
BaseRepresentation
bin11101001001100011011…
…101000101110001001000
321002111102002221110102102
4131021203131011301020
5230304344033030440
64132115552452532
7264502156241543
oct35114335056110
97074362843372
102003123330120
11702579997a50
12284275b4a148
13116b8066a4c3
146cd475db85a
153718c2d3b15
hex1d263745c48

2003123330120 has 64 divisors (see below), whose sum is σ = 5086300651200. Its totient is φ = 703290945280.

The previous prime is 2003123330107. The next prime is 2003123330141. The reversal of 2003123330120 is 210333213002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2003123330092 and 2003123330101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 78479534 + ... + 78505053.

It is an arithmetic number, because the mean of its divisors is an integer number (79473447675).

Almost surely, 22003123330120 is an apocalyptic number.

2003123330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003123330120 is an abundant number, since it is smaller than the sum of its proper divisors (3083177321080).

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

2003123330120 is a wasteful number, since it uses less digits than its factorization.

2003123330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156984638 (or 156984634 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2003123330120 its reverse (210333213002), we get a palindrome (2213456543122).

The spelling of 2003123330120 in words is "two trillion, three billion, one hundred twenty-three million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 156984587 313969174 627938348 784922935 1255876696 1569845870 1726830457 3139691740 3453660914 4552553023 6279383480 6907321828 8634152285 9105106046 13814643656 17268304570 18210212092 22762765115 34536609140 36420424184 45525530230 50078083253 69073218280 91051060460 100156166506 182102120920 200312333012 250390416265 400624666024 500780832530 1001561665060 2003123330120