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201004221041 = 1321189374089
BaseRepresentation
bin1011101100110011001…
…0010000001001110001
3201012211022220101210022
42323030302100021301
511243124040033131
6232201242013225
720344033455101
oct2731462201161
9635738811708
10201004221041
1178277708348
1232b57aa7215
1315c543a6700
149a2b60b201
1553666db37b
hex2eccc90271

201004221041 has 6 divisors (see below), whose sum is σ = 217655458470. Its totient is φ = 185542357728.

The previous prime is 201004221037. The next prime is 201004221043. The reversal of 201004221041 is 140122400102.

It can be written as a sum of positive squares in 3 ways, for example, as 1973136400 + 199031084641 = 44420^2 + 446129^2 .

It is not a de Polignac number, because 201004221041 - 22 = 201004221037 is a prime.

It is a super-3 number, since 3×2010042210413 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201004221043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 594686876 + ... + 594687213.

It is an arithmetic number, because the mean of its divisors is an integer number (36275909745).

Almost surely, 2201004221041 is an apocalyptic number.

It is an amenable number.

201004221041 is a deficient number, since it is larger than the sum of its proper divisors (16651237429).

201004221041 is a wasteful number, since it uses less digits than its factorization.

201004221041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189374115 (or 1189374102 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 201004221041 its reverse (140122400102), we get a palindrome (341126621143).

The spelling of 201004221041 in words is "two hundred one billion, four million, two hundred twenty-one thousand, forty-one".

Divisors: 1 13 169 1189374089 15461863157 201004221041