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201313323203231 = 107108711969144611
BaseRepresentation
bin101101110001011111101001…
…000111100011101010011111
3222101210100212121221100202002
4231301133221013203222133
5202341304141220000411
61552054021451352515
760255256550333261
oct5561375107435237
9871710777840662
10201313323203231
11591655567a22a8
121a6b3a5475273b
1388439c36bb215
14379d88c82bb31
15184194c9aa33b
hexb717e91e3a9f

201313323203231 has 16 divisors (see below), whose sum is σ = 203400086722560. Its totient is φ = 199230395527680.

The previous prime is 201313323203143. The next prime is 201313323203233. The reversal of 201313323203231 is 132302323313102.

It is a cyclic number.

It is not a de Polignac number, because 201313323203231 - 214 = 201313323186847 is a prime.

It is a super-2 number, since 2×2013133232032312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201313323203194 and 201313323203203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201313323203233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392030116 + ... + 1392174726.

It is an arithmetic number, because the mean of its divisors is an integer number (12712505420160).

Almost surely, 2201313323203231 is an apocalyptic number.

201313323203231 is a deficient number, since it is larger than the sum of its proper divisors (2086763519329).

201313323203231 is a wasteful number, since it uses less digits than its factorization.

201313323203231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157774.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 201313323203231 its reverse (132302323313102), we get a palindrome (333615646516333).

The spelling of 201313323203231 in words is "two hundred one trillion, three hundred thirteen billion, three hundred twenty-three million, two hundred three thousand, two hundred thirty-one".

Divisors: 1 107 1087 11969 116309 144611 1280683 13010303 15473377 157192157 1392102421 1730849059 16819560799 185200849313 1881432927133 201313323203231