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312322311210231 = 32741253159477623
BaseRepresentation
bin100011100000011100011010…
…0011010100100010011110111
31111221211201110212102122001100
41013000320310122210103313
5311414042043132211411
63024130520010101143
7122533354011543210
oct10700706432442367
91457751425378040
10312322311210231
119057416a4a8043
122b0421a611a7b3
1310536b3809973a
14571a6a2788407
152619347a42456
hex11c0e346a44f7

312322311210231 has 48 divisors (see below), whose sum is σ = 528157994757120. Its totient is φ = 174115915597440.

The previous prime is 312322311210227. The next prime is 312322311210241. The reversal of 312322311210231 is 132012113223213.

312322311210231 is a `hidden beast` number, since 3 + 1 + 2 + 322 + 311 + 2 + 1 + 0 + 23 + 1 = 666.

It is not a de Polignac number, because 312322311210231 - 22 = 312322311210227 is a prime.

It is a super-2 number, since 2×3123223112102312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312322311210195 and 312322311210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312322311210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653670886 + ... + 654148508.

It is an arithmetic number, because the mean of its divisors is an integer number (11003291557440).

Almost surely, 2312322311210231 is an apocalyptic number.

312322311210231 is a deficient number, since it is larger than the sum of its proper divisors (215835683546889).

312322311210231 is a wasteful number, since it uses less digits than its factorization.

312322311210231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730836 (or 730833 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312322311210231 its reverse (132012113223213), we get a palindrome (444334424433444).

The spelling of 312322311210231 in words is "three hundred twelve trillion, three hundred twenty-two billion, three hundred eleven million, two hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 253159 477623 759477 1432869 1772113 2278431 3343361 4298607 5316339 10030083 10379519 15949017 19582543 30090249 31138557 58747629 72656633 93415671 137077801 176242887 217969899 411233403 653909697 1233700209 120914561057 362743683171 846401927399 1088231049513 2539205782197 4957497003337 7617617346591 14872491010011 34702479023359 44617473030033 104107437070077 312322311210231