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2003112110322 = 232257871949663
BaseRepresentation
bin11101001001100010110…
…010010010100011110010
321002111101022211102202100
4131021202302102203302
5230304333200012242
64132114512201230
7264501662002011
oct35114262224362
97074338742670
102003112110322
11702573624394
12284272239216
13116b7b23c67b
146cd45d1aa78
153718b31954c
hex1d262c928f2

2003112110322 has 48 divisors (see below), whose sum is σ = 4357551144960. Its totient is φ = 665016293376.

The previous prime is 2003112110317. The next prime is 2003112110353. The reversal of 2003112110322 is 2230112113002.

2003112110322 is a `hidden beast` number, since 2 + 0 + 0 + 311 + 21 + 10 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2003112110295 and 2003112110304.

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 23 ways as a sum of consecutive naturals, for example, 40309263 + ... + 40358925.

It is an arithmetic number, because the mean of its divisors is an integer number (90782315520).

Almost surely, 22003112110322 is an apocalyptic number.

2003112110322 is an abundant number, since it is smaller than the sum of its proper divisors (2354439034638).

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

2003112110322 is a wasteful number, since it uses less digits than its factorization.

2003112110322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58647 (or 58644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2003112110322 its reverse (2230112113002), we get a palindrome (4233224223324).

The spelling of 2003112110322 in words is "two trillion, three billion, one hundred twelve million, one hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 257 514 771 1542 2313 4626 8719 17438 26157 49663 52314 78471 99326 148989 156942 297978 446967 893934 2240783 4481566 6722349 12763391 13444698 20167047 25526782 38290173 40334094 76580346 114870519 229741038 433011697 866023394 1299035091 2598070182 3897105273 7794210546 111284006129 222568012258 333852018387 667704036774 1001556055161 2003112110322