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201303300105 = 32543971017377
BaseRepresentation
bin1011101101111010011…
…1001001100000001001
3201020121011200012010200
42323132213021200021
511244232121100410
6232251044202413
720354324550525
oct2733647114011
9636534605120
10201303300105
1178410512926
1233020099409
1315ca134127b
149a59220d85
155382ab73c0
hex2ede9c9809

201303300105 has 24 divisors (see below), whose sum is σ = 349005418632. Its totient is φ = 107337237504.

The previous prime is 201303300101. The next prime is 201303300157. The reversal of 201303300105 is 501003303102.

201303300105 is a `hidden beast` number, since 201 + 30 + 330 + 0 + 105 = 666.

201303300105 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 60640047504 + 140663252601 = 246252^2 + 375051^2 .

It is not a de Polignac number, because 201303300105 - 22 = 201303300101 is a prime.

It is a super-2 number, since 2×2013033001052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201303300101) 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 23 ways as a sum of consecutive naturals, for example, 310824 + ... + 706553.

It is an arithmetic number, because the mean of its divisors is an integer number (14541892443).

Almost surely, 2201303300105 is an apocalyptic number.

It is an amenable number.

201303300105 is a deficient number, since it is larger than the sum of its proper divisors (147702118527).

201303300105 is a wasteful number, since it uses less digits than its factorization.

201303300105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021785 (or 1021782 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 201303300105 its reverse (501003303102), we get a palindrome (702306603207).

The spelling of 201303300105 in words is "two hundred one billion, three hundred three million, three hundred thousand, one hundred five".

Divisors: 1 3 5 9 15 45 4397 13191 21985 39573 65955 197865 1017377 3052131 5086885 9156393 15260655 45781965 4473406669 13420220007 22367033345 40260660021 67101100035 201303300105