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323212120222122 = 23437417319791453
BaseRepresentation
bin100100101111101011010111…
…1100111001110100110101010
31120101101202222101022010120000
41021133112233213032212222
5314331001410234101442
63103225333114243430
7125036206434064455
oct11137265747164652
91511352871263500
10323212120222122
1193a9254381972a
1230300811126576
1310b46a06573481
1459b579b62249c
152757750479d4c
hex125f5af9ce9aa

323212120222122 has 320 divisors, whose sum is σ = 776317055066784. Its totient is φ = 100354771722240.

The previous prime is 323212120222097. The next prime is 323212120222133. The reversal of 323212120222122 is 221222021212323.

323212120222122 is a `hidden beast` number, since 3 + 2 + 3 + 212 + 1 + 202 + 221 + 22 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 102275378170641 + 220936742051481 = 10113129^2 + 14863941^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3534142548 + ... + 3534234000.

Almost surely, 2323212120222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323212120222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388158527533392).

323212120222122 is an abundant number, since it is smaller than the sum of its proper divisors (453104934844662).

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

323212120222122 is a wasteful number, since it uses less digits than its factorization.

323212120222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91815 (or 91806 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 323212120222122 its reverse (221222021212323), we get a palindrome (544434141434445).

The spelling of 323212120222122 in words is "three hundred twenty-three trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty-two".