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211031231221231 = 17371672008998517
BaseRepresentation
bin101111111110111010001001…
…100100101100110111101111
31000200012101111100100011021021
4233332322021210230313233
5210130013430143034411
62024454224222315011
762310334431511231
oct5776721144546757
91020171440304237
10211031231221231
116127192a4a6aa3
121b803324428a67
13909a20cb812a5
143a17d74d40251
15195e6174c8a71
hexbfee8992cdef

211031231221231 has 16 divisors (see below), whose sum is σ = 230858037700416. Its totient is φ = 192092402105856.

The previous prime is 211031231221219. The next prime is 211031231221381. The reversal of 211031231221231 is 132122132130112.

It is a cyclic number.

It is not a de Polignac number, because 211031231221231 - 213 = 211031231213039 is a prime.

It is a super-2 number, since 2×2110312312212312 (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 = 211031231221196 and 211031231221205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211031231221831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004394216 + ... + 1004604301.

It is an arithmetic number, because the mean of its divisors is an integer number (14428627356276).

Almost surely, 2211031231221231 is an apocalyptic number.

211031231221231 is a deficient number, since it is larger than the sum of its proper divisors (19826806479185).

211031231221231 is a wasteful number, since it uses less digits than its factorization.

211031231221231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008998738.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 211031231221231 its reverse (132122132130112), we get a palindrome (343153363351343).

The spelling of 211031231221231 in words is "two hundred eleven trillion, thirty-one billion, two hundred thirty-one million, two hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 17 37 167 629 2839 6179 105043 2008998517 34152974789 74332945129 335502752339 1263660067193 5703546789763 12413601836543 211031231221231