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201144131016 = 23315495410591
BaseRepresentation
bin1011101101010100011…
…1111101110111001000
3201020012002011120012020
42323111013331313020
511243420344143031
6232223200444440
720350352621643
oct2732507756710
9636162146166
10201144131016
1178339688824
1232b96919720
1315c77381a8a
149a4202aa5a
155373b26096
hex2ed51fddc8

201144131016 has 32 divisors (see below), whose sum is σ = 503185056000. Its totient is φ = 67004746560.

The previous prime is 201144131011. The next prime is 201144131017. The reversal of 201144131016 is 610131441102.

It is a happy number.

It is a super-2 number, since 2×2011441310162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201144131011) 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, 2668120 + ... + 2742471.

It is an arithmetic number, because the mean of its divisors is an integer number (15724533000).

Almost surely, 2201144131016 is an apocalyptic number.

It is an amenable number.

201144131016 is an abundant number, since it is smaller than the sum of its proper divisors (302040924984).

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

201144131016 is a wasteful number, since it uses less digits than its factorization.

201144131016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412149 (or 5412145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 201144131016 its reverse (610131441102), we get a palindrome (811275572118).

The spelling of 201144131016 in words is "two hundred one billion, one hundred forty-four million, one hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 1549 3098 4647 6196 9294 12392 18588 37176 5410591 10821182 16231773 21642364 32463546 43284728 64927092 129854184 8381005459 16762010918 25143016377 33524021836 50286032754 67048043672 100572065508 201144131016