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312323232320 = 265111813311481
BaseRepresentation
bin1001000101101111110…
…10100101001001000000
31002212011100021002110222
410202313322211021000
520104114221413240
6355251310442212
731364442446351
oct4426772451100
91085140232428
10312323232320
11110501360120
1250644503368
13235b4c36958
141118ba5dd28
1581ce4cbeb5
hex48b7ea5240

312323232320 has 224 divisors, whose sum is σ = 818830276992. Its totient is φ = 112527360000.

The previous prime is 312323232301. The next prime is 312323232337. The reversal of 312323232320 is 23232323213.

It is a self number, because there is not a number n which added to its sum of digits gives 312323232320.

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 31 ways as a sum of consecutive naturals, for example, 210885980 + ... + 210887460.

It is an arithmetic number, because the mean of its divisors is an integer number (3655492308).

Almost surely, 2312323232320 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 312323232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409415138496).

312323232320 is an abundant number, since it is smaller than the sum of its proper divisors (506507044672).

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

312323232320 is a wasteful number, since it uses less digits than its factorization.

312323232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 312323232320 its reverse (23232323213), we get a palindrome (335555555533).

The spelling of 312323232320 in words is "three hundred twelve billion, three hundred twenty-three million, two hundred thirty-two thousand, three hundred twenty".