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212323111410312 = 233274353732532209
BaseRepresentation
bin110000010001101101010011…
…101000100001101010001000
31000211202220001200211110220200
4300101231103220201222020
5210312200213010112222
62031323520230252200
762502560430106530
oct6021552350415210
91024686050743820
10212323111410312
116171a7a9159051
121b9917844b7060
139161ca2976786
143a606c9d544c0
151983028638eac
hexc11b53a21a88

212323111410312 has 384 divisors, whose sum is σ = 694548334022400. Its totient is φ = 57338588676096.

The previous prime is 212323111410307. The next prime is 212323111410323. The reversal of 212323111410312 is 213014111323212.

212323111410312 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 231 + 1 + 1 + 410 + 3 + 12 = 666.

It is a super-2 number, since 2×2123231114103122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 82582864 + ... + 85115072.

It is an arithmetic number, because the mean of its divisors is an integer number (1808719619850).

Almost surely, 2212323111410312 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 212323111410312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347274167011200).

212323111410312 is an abundant number, since it is smaller than the sum of its proper divisors (482225222612088).

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

212323111410312 is a wasteful number, since it uses less digits than its factorization.

212323111410312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532397 (or 2532390 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 212323111410312 its reverse (213014111323212), we get a palindrome (425337222733524).

The spelling of 212323111410312 in words is "two hundred twelve trillion, three hundred twenty-three billion, one hundred eleven million, four hundred ten thousand, three hundred twelve".