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203130313011 = 32151257581597
BaseRepresentation
bin1011110100101110000…
…0101001100100110011
3201102022111112001200100
42331023200221210303
511312002330004021
6233152231323443
720450521113003
oct2751340514463
9642274461610
10203130313011
117916884774a
123344bb20583
13162029cb7b2
149b8db2a003
15543d1a9626
hex2f4b829933

203130313011 has 24 divisors (see below), whose sum is σ = 296503313184. Its totient is φ = 133999718400.

The previous prime is 203130313003. The next prime is 203130313019. The reversal of 203130313011 is 110313031302.

It is a happy number.

203130313011 is a `hidden beast` number, since 20 + 313 + 0 + 31 + 301 + 1 = 666.

203130313011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (203130313003) and next prime (203130313019).

It is not a de Polignac number, because 203130313011 - 23 = 203130313003 is a prime.

It is a super-2 number, since 2×2031303130112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203130313019) 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, 58465 + ... + 640061.

It is an arithmetic number, because the mean of its divisors is an integer number (12354304716).

Almost surely, 2203130313011 is an apocalyptic number.

203130313011 is a deficient number, since it is larger than the sum of its proper divisors (93373000173).

203130313011 is a wasteful number, since it uses less digits than its factorization.

203130313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582011 (or 582008 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 203130313011 its reverse (110313031302), we get a palindrome (313443344313).

It can be divided in two parts, 20313031301 and 1, that added together give a palindrome (20313031302).

The spelling of 203130313011 in words is "two hundred three billion, one hundred thirty million, three hundred thirteen thousand, eleven".

Divisors: 1 3 9 151 257 453 771 1359 2313 38807 116421 349263 581597 1744791 5234373 87821147 149470429 263463441 448411287 790390323 1345233861 22570034779 67710104337 203130313011