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312321131332 = 22743409634237
BaseRepresentation
bin1001000101101111100…
…10100100001101000100
31002212011012022100110121
410202313302210031010
520104113202200312
6355251153431324
731364415546130
oct4426762441504
91085135270417
10312321131332
11110500155671
125064386b544
13235b467c572
141118b6743c0
1581ce214707
hex48b7ca4344

312321131332 has 48 divisors (see below), whose sum is σ = 640732597120. Its totient is φ = 130419217152.

The previous prime is 312321131327. The next prime is 312321131393. The reversal of 312321131332 is 233131123213.

It is a junction number, because it is equal to n+sod(n) for n = 312321131297 and 312321131306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175318 + ... + 809554.

Almost surely, 2312321131332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312321131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320366298560).

312321131332 is an abundant number, since it is smaller than the sum of its proper divisors (328411465788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312321131332 is a wasteful number, since it uses less digits than its factorization.

312321131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634700 (or 634698 counting only the distinct ones).

The product of its digits is 1944, while the sum is 25.

Adding to 312321131332 its reverse (233131123213), we get a palindrome (545452254545).

The spelling of 312321131332 in words is "three hundred twelve billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 409 602 818 1204 1636 2863 5726 11452 17587 35174 70348 123109 246218 492436 634237 1268474 2536948 4439659 8879318 17758636 27272191 54544382 109088764 190905337 259402933 381810674 518805866 763621348 1037611732 1815820531 3631641062 7263282124 11154326119 22308652238 44617304476 78080282833 156160565666 312321131332