Search a number
-
+
20130123102003 = 334321569803867
BaseRepresentation
bin1001001001110111010001…
…10101100011011100110011
32122021102100220000222111000
410210323220311203130303
510114302443003231003
6110451352331453043
74145232134110125
oct444735065433463
978242326028430
1020130123102003
116461156777562
1223114295b7183
13b3035482a395
144d8435c0d215
1524d96d9141a3
hex124ee8d63733

20130123102003 has 32 divisors (see below), whose sum is σ = 30517401657600. Its totient is φ = 13107363107328.

The previous prime is 20130123101989. The next prime is 20130123102091. The reversal of 20130123102003 is 30020132103102.

20130123102003 is a `hidden beast` number, since 20 + 130 + 1 + 2 + 310 + 200 + 3 = 666.

It is not a de Polignac number, because 20130123102003 - 26 = 20130123101939 is a prime.

It is a super-2 number, since 2×201301231020032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20130123106003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24639676 + ... + 25443542.

It is an arithmetic number, because the mean of its divisors is an integer number (953668801800).

Almost surely, 220130123102003 is an apocalyptic number.

20130123102003 is a deficient number, since it is larger than the sum of its proper divisors (10387278555597).

20130123102003 is a wasteful number, since it uses less digits than its factorization.

20130123102003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825488 (or 825482 counting only the distinct ones).

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

Adding to 20130123102003 its reverse (30020132103102), we get a palindrome (50150255205105).

The spelling of 20130123102003 in words is "twenty trillion, one hundred thirty billion, one hundred twenty-three million, one hundred two thousand, three".

Divisors: 1 3 9 27 43 129 387 1161 21569 64707 194121 582363 803867 927467 2411601 2782401 7234803 8347203 21704409 25041609 34566281 103698843 311096529 933289587 17338607323 52015821969 156047465907 468142397721 745560114889 2236680344667 6710041034001 20130123102003