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231011310321 = 32116138253239
BaseRepresentation
bin1101011100100101011…
…0001101101011110001
3211002021120112110211100
43113021112031223301
512241102343412241
6254043010035013
722455450511311
oct3271126155361
9732246473740
10231011310321
1189a75953690
1238931278a69
1318a2708153c
14b27697d441
156020c659b6
hex35c958daf1

231011310321 has 24 divisors (see below), whose sum is σ = 369985337280. Its totient is φ = 137711656800.

The previous prime is 231011310301. The next prime is 231011310349. The reversal of 231011310321 is 123013110132.

231011310321 is a `hidden beast` number, since 2 + 31 + 0 + 1 + 1 + 310 + 321 = 666.

It is not a de Polignac number, because 231011310321 - 213 = 231011302129 is a prime.

It is a super-2 number, since 2×2310113103212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 231011310294 and 231011310303.

It is not an unprimeable number, because it can be changed into a prime (231011310301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19120581 + ... + 19132658.

It is an arithmetic number, because the mean of its divisors is an integer number (15416055720).

Almost surely, 2231011310321 is an apocalyptic number.

It is an amenable number.

231011310321 is a deficient number, since it is larger than the sum of its proper divisors (138974026959).

231011310321 is a wasteful number, since it uses less digits than its factorization.

231011310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38253317 (or 38253314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 231011310321 its reverse (123013110132), we get a palindrome (354024420453).

The spelling of 231011310321 in words is "two hundred thirty-one billion, eleven million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 6039 38253239 114759717 344279151 420785629 1262356887 2333447579 3787070661 7000342737 21001028211 25667923369 77003770107 231011310321