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201302000001 = 32125891776701
BaseRepresentation
bin1011101101111010001…
…0001100000110000001
3201020121002020010201200
42323132202030012001
511244231303000001
6232251000251413
720354310524244
oct2733642140601
9636532203650
10201302000001
117840a805063
123301b770b69
1315ca0ca758b
149a58da325b
15538290c086
hex2ede88c181

201302000001 has 12 divisors (see below), whose sum is σ = 290792816340. Its totient is φ = 134190597600.

The previous prime is 201301999991. The next prime is 201302000083. The reversal of 201302000001 is 100000203102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 85837280400 + 115464719601 = 292980^2 + 339801^2 .

It is not a de Polignac number, because 201302000001 - 29 = 201301999489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201302000201) 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 11 ways as a sum of consecutive naturals, for example, 775050 + ... + 1001651.

It is an arithmetic number, because the mean of its divisors is an integer number (24232734695).

Almost surely, 2201302000001 is an apocalyptic number.

It is an amenable number.

201302000001 is a deficient number, since it is larger than the sum of its proper divisors (89490816339).

201302000001 is a wasteful number, since it uses less digits than its factorization.

201302000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789296 (or 1789293 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201302000001 its reverse (100000203102), we get a palindrome (301302203103).

The spelling of 201302000001 in words is "two hundred one billion, three hundred two million, one", and thus it is an aban number.

Divisors: 1 3 9 12589 37767 113301 1776701 5330103 15990309 22366888889 67100666667 201302000001