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201201313013 = 1297175388493
BaseRepresentation
bin1011101101100010001…
…0000110010011110101
3201020100001202201010222
42323120202012103311
511244030014004023
6232233002224125
720351645641211
oct2733042062365
9636301681128
10201201313013
1178368994478
1232bb1ab5045
1315c8618318c
149a49873941
155378b6dcc8
hex2ed88864f5

201201313013 has 8 divisors (see below), whose sum is σ = 201473581848. Its totient is φ = 200929227264.

The previous prime is 201201312973. The next prime is 201201313043. The reversal of 201201313013 is 310313102102.

201201313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9713679364 + 191487633649 = 98558^2 + 437593^2 .

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 201201313013 - 28 = 201201312757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201201312982 and 201201313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201313043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229395 + ... + 2317887.

It is an arithmetic number, because the mean of its divisors is an integer number (25184197731).

Almost surely, 2201201313013 is an apocalyptic number.

It is an amenable number.

201201313013 is a deficient number, since it is larger than the sum of its proper divisors (272268835).

201201313013 is a wasteful number, since it uses less digits than its factorization.

201201313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91543.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 201201313013 its reverse (310313102102), we get a palindrome (511514415115).

The spelling of 201201313013 in words is "two hundred one billion, two hundred one million, three hundred thirteen thousand, thirteen".

Divisors: 1 1297 1753 88493 2273641 114775421 155128229 201201313013