Search a number
-
+
2003011122123 = 321179730118431
BaseRepresentation
bin11101001001011100110…
…001000011001111001011
321002111010021210200222200
4131021130301003033023
5230304131321401443
64132100503451243
7264466324422534
oct35113461031713
97074107720880
102003011122123
11702521618470
12284244456b23
13116b6334113b
146cd3674d68b
153718251bdd3
hex1d25cc433cb

2003011122123 has 48 divisors (see below), whose sum is σ = 3161644641792. Its totient is φ = 1211876568000.

The previous prime is 2003011122107. The next prime is 2003011122149. The reversal of 2003011122123 is 3212211103002.

It is not a de Polignac number, because 2003011122123 - 24 = 2003011122107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003011122096 and 2003011122105.

It is not an unprimeable number, because it can be changed into a prime (2003011122103) 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, 237572718 + ... + 237581148.

It is an arithmetic number, because the mean of its divisors is an integer number (65867596704).

Almost surely, 22003011122123 is an apocalyptic number.

2003011122123 is a deficient number, since it is larger than the sum of its proper divisors (1158633519669).

2003011122123 is a wasteful number, since it uses less digits than its factorization.

2003011122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256 (or 12253 counting only the distinct ones).

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

Adding to 2003011122123 its reverse (3212211103002), we get a palindrome (5215222225125).

The spelling of 2003011122123 in words is "two trillion, three billion, eleven million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 797 2391 3011 7173 8431 8767 9033 25293 26301 27099 33121 75879 78903 92741 99363 278223 298089 834669 2399767 6719507 7199301 20158521 21597903 25385741 26397437 60475563 73914577 76157223 79192311 221743731 228471669 237576933 279243151 665231193 837729453 2513188359 20232435577 60697306731 182091920193 222556791347 667670374041 2003011122123