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2003133023120 = 245179139883591
BaseRepresentation
bin11101001001100100000…
…010000100001110010000
321002111102210011220201102
4131021210002010032100
5230304404023214440
64132120540323532
7264502334522165
oct35114402041620
97074383156642
102003133023120
11702584408499
122842792435a8
13116b826823c8
146cd48a0206c
153718d09ab15
hex1d264084390

2003133023120 has 40 divisors (see below), whose sum is σ = 4683302660160. Its totient is φ = 796776928640.

The previous prime is 2003133023107. The next prime is 2003133023149. The reversal of 2003133023120 is 213203313002.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 2003133023092 and 2003133023101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69927476 + ... + 69956115.

It is an arithmetic number, because the mean of its divisors is an integer number (117082566504).

Almost surely, 22003133023120 is an apocalyptic number.

2003133023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003133023120 is an abundant number, since it is smaller than the sum of its proper divisors (2680169637040).

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

2003133023120 is a wasteful number, since it uses less digits than its factorization.

2003133023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139883783 (or 139883777 counting only the distinct ones).

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

Adding to 2003133023120 its reverse (213203313002), we get a palindrome (2216336336122).

The spelling of 2003133023120 in words is "two trillion, three billion, one hundred thirty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 139883591 279767182 559534364 699417955 1119068728 1398835910 2238137456 2797671820 5595343640 11190687280 25039162789 50078325578 100156651156 125195813945 200313302312 250391627890 400626604624 500783255780 1001566511560 2003133023120