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2003001100221 = 311255071001981
BaseRepresentation
bin11101001001011100001…
…010110100011110111101
321002111002120221112112010
4131021130022310132331
5230304121240201341
64132055505001433
7264466143302262
oct35113412643675
97074076845463
102003001100221
117025169a2900
12284241023279
13116b61242614
146cd352a1269
15371816dc716
hex1d25c2b47bd

2003001100221 has 24 divisors (see below), whose sum is σ = 2936063767392. Its totient is φ = 1213718413600.

The previous prime is 2003001100207. The next prime is 2003001100231. The reversal of 2003001100221 is 1220011003002.

It is not a de Polignac number, because 2003001100221 - 211 = 2003001098173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2003001100197 and 2003001100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003001100231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1498051 + ... + 2500031.

It is an arithmetic number, because the mean of its divisors is an integer number (122335990308).

Almost surely, 22003001100221 is an apocalyptic number.

It is an amenable number.

2003001100221 is a deficient number, since it is larger than the sum of its proper divisors (933062667171).

2003001100221 is a wasteful number, since it uses less digits than its factorization.

2003001100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007513 (or 1007502 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2003001100221 its reverse (1220011003002), we get a palindrome (3223012103223).

The spelling of 2003001100221 in words is "two trillion, three billion, one million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 11 33 121 363 5507 16521 60577 181731 666347 1001981 1999041 3005943 11021791 33065373 121239701 363719103 5517909367 16553728101 60697003037 182091009111 667667033407 2003001100221