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2003133322120 = 23573146000971
BaseRepresentation
bin11101001001100100000…
…011001101001110001000
321002111102210202002212111
4131021210003031032020
5230304404112301440
64132120550552104
7264502340206000
oct35114403151610
97074383662774
102003133322120
117025845a20a7
12284279368634
13116b82758528
146cd48a7d000
153718d1094ea
hex1d2640cd388

2003133322120 has 64 divisors (see below), whose sum is σ = 5256034992000. Its totient is φ = 686788562880.

The previous prime is 2003133322033. The next prime is 2003133322139. The reversal of 2003133322120 is 212233313002.

It is a junction number, because it is equal to n+sod(n) for n = 2003133322091 and 2003133322100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72986766 + ... + 73014205.

It is an arithmetic number, because the mean of its divisors is an integer number (82125546750).

Almost surely, 22003133322120 is an apocalyptic number.

2003133322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003133322120 is an abundant number, since it is smaller than the sum of its proper divisors (3252901669880).

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

2003133322120 is a wasteful number, since it uses less digits than its factorization.

2003133322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146001003 (or 146000985 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2003133322120 its reverse (212233313002), we get a palindrome (2215366635122).

The spelling of 2003133322120 in words is "two trillion, three billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 146000971 292001942 584003884 730004855 1022006797 1168007768 1460009710 2044013594 2920019420 4088027188 5110033985 5840038840 7154047579 8176054376 10220067970 14308095158 20440135940 28616190316 35770237895 40880271880 50078333053 57232380632 71540475790 100156666106 143080951580 200313332212 250391665265 286161903160 400626664424 500783330530 1001566661060 2003133322120