Search a number
-
+
2003121103302 = 2321127481122939
BaseRepresentation
bin11101001001100011010…
…100100110000111000110
321002111101221202022210200
4131021203110212013012
5230304343000301202
64132115433031330
7264502131305424
oct35114324460706
97074357668720
102003121103302
11702578706a00
12284275255546
13116b8006aa67
146cd471bc114
153718bee3e1c
hex1d2635261c6

2003121103302 has 72 divisors (see below), whose sum is σ = 4771194933960. Its totient is φ = 606920318400.

The previous prime is 2003121103283. The next prime is 2003121103337. The reversal of 2003121103302 is 2033011213002.

2003121103302 is a `hidden beast` number, since 20 + 0 + 312 + 1 + 1 + 0 + 330 + 2 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 16232149 + ... + 16355087.

It is an arithmetic number, because the mean of its divisors is an integer number (66266596305).

Almost surely, 22003121103302 is an apocalyptic number.

2003121103302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2003121103302 is an abundant number, since it is smaller than the sum of its proper divisors (2768073830658).

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

2003121103302 is a wasteful number, since it uses less digits than its factorization.

2003121103302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130450 (or 130436 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2003121103302 its reverse (2033011213002), we get a palindrome (4036132316304).

The spelling of 2003121103302 in words is "two trillion, three billion, one hundred twenty-one million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 7481 14962 22443 44886 67329 82291 122939 134658 164582 245878 246873 368817 493746 737634 740619 905201 1106451 1352329 1481238 1810402 2212902 2704658 2715603 4056987 5431206 8113974 8146809 12170961 14875619 16293618 24341922 29751238 44626857 89253714 133880571 267761142 919706659 1839413318 2759119977 5518239954 8277359931 10116773249 16554719862 20233546498 30350319747 60700639494 91050959241 111284505739 182101918482 222569011478 333853517217 667707034434 1001560551651 2003121103302