Search a number
-
+
2003112101001 = 311292191377887
BaseRepresentation
bin11101001001100010110…
…010010000010010001001
321002111101022210221222010
4131021202302100102021
5230304333144213001
64132114512050133
7264501661632564
oct35114262202211
97074338727863
102003112101001
11702573618390
12284272233949
13116b7b23835b
146cd45d174db
153718b3168d6
hex1d262c90489

2003112101001 has 48 divisors (see below), whose sum is σ = 3033358368768. Its totient is φ = 1166005041600.

The previous prime is 2003112100999. The next prime is 2003112101027. The reversal of 2003112101001 is 1001012113002.

It is not a de Polignac number, because 2003112101001 - 21 = 2003112100999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2003112101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5111880 + ... + 5489766.

It is an arithmetic number, because the mean of its divisors is an integer number (63194966016).

Almost surely, 22003112101001 is an apocalyptic number.

It is an amenable number.

2003112101001 is a deficient number, since it is larger than the sum of its proper divisors (1030246267767).

2003112101001 is a wasteful number, since it uses less digits than its factorization.

2003112101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378150 (or 378121 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2003112101001 its reverse (1001012113002), we get a palindrome (3004124214003).

The spelling of 2003112101001 in words is "two trillion, three billion, one hundred twelve million, one hundred one thousand, one".

Divisors: 1 3 11 29 33 87 191 319 573 841 957 2101 2523 5539 6303 9251 16617 27753 60929 160631 182787 377887 481893 1133661 1766941 4156757 5300823 10958723 12470271 32876169 72176417 120545953 216529251 317802967 361637859 793940587 953408901 2093116093 2381821761 3495832637 6279348279 10487497911 23024277023 60700366697 69072831069 182101100091 667704033667 2003112101001