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312222022321230 = 23357718112868947
BaseRepresentation
bin100011011111101101101101…
…0101110110100010001001110
31111221111010121120012012121000
41012333123122232310101032
5311410421200203234410
63024012452243121130
7122523203526212550
oct10677333256642116
91457433546165530
10312222022321230
1190535685a973aa
122b0268776731a6
131052a54477c678
1457158ab2074d0
152616928290dc0
hex11bf6dabb444e

312222022321230 has 256 divisors, whose sum is σ = 966125813022720. Its totient is φ = 70273110902400.

The previous prime is 312222022321201. The next prime is 312222022321247. The reversal of 312222022321230 is 32123220222213.

312222022321230 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 220 + 223 + 212 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312222022321194 and 312222022321203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107393617 + ... + 110262563.

It is an arithmetic number, because the mean of its divisors is an integer number (3773928957120).

Almost surely, 2312222022321230 is an apocalyptic number.

312222022321230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312222022321230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483062906511360).

312222022321230 is an abundant number, since it is smaller than the sum of its proper divisors (653903790701490).

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

312222022321230 is a wasteful number, since it uses less digits than its factorization.

312222022321230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869852 (or 2869846 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312222022321230 its reverse (32123220222213), we get a palindrome (344345242543443).

The spelling of 312222022321230 in words is "three hundred twelve trillion, two hundred twenty-two billion, twenty-two million, three hundred twenty-one thousand, two hundred thirty".