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323312123131332 = 2231719375483411167
BaseRepresentation
bin100100110000011001111100…
…0010000000011010111000100
31120101202100002202102021111020
41021200303320100003113010
5314334121212010200312
63103343312223511140
7125046346544560566
oct11140637020032704
91511670082367436
10323312123131332
11940209a0861535
123031807ba584b0
1310b5328286112a
1459ba566bdd336
15275a154a8b78c
hex1260cf84035c4

323312123131332 has 192 divisors, whose sum is σ = 863695948308480. Its totient is φ = 93478386161664.

The previous prime is 323312123131301. The next prime is 323312123131339. The reversal of 323312123131332 is 233131321213323.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 323312123131293 and 323312123131302.

It is not an unprimeable number, because it can be changed into a prime (323312123131339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786122413 + ... + 786533579.

It is an arithmetic number, because the mean of its divisors is an integer number (4498416397440).

Almost surely, 2323312123131332 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 323312123131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431847974154240).

323312123131332 is an abundant number, since it is smaller than the sum of its proper divisors (540383825177148).

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

323312123131332 is a wasteful number, since it uses less digits than its factorization.

323312123131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416730 (or 416728 counting only the distinct ones).

The product of its digits is 34992, while the sum is 33.

Adding to 323312123131332 its reverse (233131321213323), we get a palindrome (556443444344655).

The spelling of 323312123131332 in words is "three hundred twenty-three trillion, three hundred twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty-two".