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201321312231 = 31328118370409
BaseRepresentation
bin1011101101111110101…
…1110110111111100111
3201020122102120022010110
42323133223312333213
511244301223442411
6232252530224103
720354633630154
oct2733753667747
9636572508113
10201321312231
117841a6a5686
1233026125033
1315ca4ca9930
149a5b78d22b
1553844742a6
hex2edfaf6fe7

201321312231 has 16 divisors (see below), whose sum is σ = 290105514720. Its totient is φ = 123449141760.

The previous prime is 201321312221. The next prime is 201321312251. The reversal of 201321312231 is 132213123102.

It is not a de Polignac number, because 201321312231 - 27 = 201321312103 is a prime.

It is a super-2 number, since 2×2013213122312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201321312198 and 201321312207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321312221) 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, 9174246 + ... + 9196163.

It is an arithmetic number, because the mean of its divisors is an integer number (18131594670).

Almost surely, 2201321312231 is an apocalyptic number.

201321312231 is a deficient number, since it is larger than the sum of its proper divisors (88784202489).

201321312231 is a wasteful number, since it uses less digits than its factorization.

201321312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18370706.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201321312231 its reverse (132213123102), we get a palindrome (333534435333).

The spelling of 201321312231 in words is "two hundred one billion, three hundred twenty-one million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 13 39 281 843 3653 10959 18370409 55111227 238815317 716445951 5162084929 15486254787 67107104077 201321312231