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2003034121 = 112101163901
BaseRepresentation
bin111011101100011…
…1110000000001001
312011121001200020221
41313120332000021
513100234042441
6530431550041
7100431336424
oct16730760011
95147050227
102003034121
1193872a200
1247a98b321
1325bc9a3ba
141500489bb
15bacb18d1
hex7763e009

2003034121 has 12 divisors (see below), whose sum is σ = 2223494532. Its totient is φ = 1802900000.

The previous prime is 2003034113. The next prime is 2003034161. The reversal of 2003034121 is 1214303002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1555119225 + 447914896 = 39435^2 + 21164^2 .

It is not a de Polignac number, because 2003034121 - 23 = 2003034113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003034095 and 2003034104.

It is not an unprimeable number, because it can be changed into a prime (2003034101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69730 + ... + 94171.

It is an arithmetic number, because the mean of its divisors is an integer number (185291211).

Almost surely, 22003034121 is an apocalyptic number.

It is an amenable number.

2003034121 is a deficient number, since it is larger than the sum of its proper divisors (220460411).

2003034121 is a wasteful number, since it uses less digits than its factorization.

2003034121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164024 (or 164013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2003034121 is about 44755.2691981626. The cubic root of 2003034121 is about 1260.5578534661.

Adding to 2003034121 its reverse (1214303002), we get a palindrome (3217337123).

The spelling of 2003034121 in words is "two billion, three million, thirty-four thousand, one hundred twenty-one".

Divisors: 1 11 101 121 1111 12221 163901 1802911 16554001 19832021 182094011 2003034121