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201141430001 = 3131621396437
BaseRepresentation
bin1011101101010011110…
…1101010011011110001
3201020011220002100002122
42323110331222123301
511243414201230001
6232223022524025
720350320642161
oct2732475523361
9636156070078
10201141430001
1178338103486
1232b95a36615
1315c76947545
149a419265a1
155373790b1b
hex2ed4f6a6f1

201141430001 has 8 divisors (see below), whose sum is σ = 201909044904. Its totient is φ = 200374611840.

The previous prime is 201141429997. The next prime is 201141430027. The reversal of 201141430001 is 100034141102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13409871601 + 187731558400 = 115801^2 + 433280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201141430001 - 22 = 201141429997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201141430801) 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 7 ways as a sum of consecutive naturals, for example, 309155 + ... + 705591.

It is an arithmetic number, because the mean of its divisors is an integer number (25238630613).

Almost surely, 2201141430001 is an apocalyptic number.

It is an amenable number.

201141430001 is a deficient number, since it is larger than the sum of its proper divisors (767614903).

201141430001 is a wasteful number, since it uses less digits than its factorization.

201141430001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398371.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201141430001 its reverse (100034141102), we get a palindrome (301175571103).

The spelling of 201141430001 in words is "two hundred one billion, one hundred forty-one million, four hundred thirty thousand, one".

Divisors: 1 313 1621 396437 507373 124084781 642624377 201141430001