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2003112201321 = 3271128310213759
BaseRepresentation
bin11101001001100010110…
…010101000110001101001
321002111101100000001120200
4131021202302220301221
5230304333210420241
64132114514142413
7264501662531220
oct35114262506151
97074340001520
102003112201321
117025736867a0
12284272281a09
13116b7b271c0a
146cd45d41cb7
153718b3364b6
hex1d262ca8c69

2003112201321 has 48 divisors (see below), whose sum is σ = 3620083384320. Its totient is φ = 1036900712160.

The previous prime is 2003112201317. The next prime is 2003112201323. The reversal of 2003112201321 is 1231022113002.

2003112201321 is a `hidden beast` number, since 2 + 0 + 0 + 311 + 220 + 132 + 1 = 666.

It is not a de Polignac number, because 2003112201321 - 22 = 2003112201317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003112201294 and 2003112201303.

It is not an unprimeable number, because it can be changed into a prime (2003112201323) 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 47 ways as a sum of consecutive naturals, for example, 4910761 + ... + 5302998.

It is an arithmetic number, because the mean of its divisors is an integer number (75418403840).

Almost surely, 22003112201321 is an apocalyptic number.

2003112201321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2003112201321 is a deficient number, since it is larger than the sum of its proper divisors (1616971182999).

2003112201321 is a wasteful number, since it uses less digits than its factorization.

2003112201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214066 (or 10214063 counting only the distinct ones).

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

Adding to 2003112201321 its reverse (1231022113002), we get a palindrome (3234134314323).

The spelling of 2003112201321 in words is "two trillion, three billion, one hundred twelve million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 283 693 849 1981 2547 3113 5943 9339 17829 21791 28017 65373 196119 10213759 30641277 71496313 91923831 112351349 214488939 337054047 643466817 786459443 1011162141 2359378329 2890493797 7078134987 8671481391 20233456579 26014444173 31795431767 60700369737 95386295301 182101109211 222568022369 286158885903 667704067107 2003112201321