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212453000000000 = 2959212453
BaseRepresentation
bin110000010011100110010001…
…100110001011001000000000
31000212020022022212010111022122
4300103212101212023020000
5210321312221000000000
62031503321045423412
762515136251646504
oct6023462146131000
91025208285114278
10212453000000000
116176a8a1952a41
121b9b2993a0ab68
139171302741036
143a66acc6dc304
1519865cb7e2085
hexc1399198b200

212453000000000 has 200 divisors, whose sum is σ = 530616259141452. Its totient is φ = 84980800000000.

The previous prime is 212452999999993. The next prime is 212453000000069. The reversal of 212453000000000 is 354212.

It can be written as a sum of positive squares in 10 ways, for example, as 145564418040064 + 66888581959936 = 12065008^2 + 8178544^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 999893774 + ... + 1000106226.

Almost surely, 2212453000000000 is an apocalyptic number.

212453000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212453000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265308129570726).

212453000000000 is an abundant number, since it is smaller than the sum of its proper divisors (318163259141452).

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

212453000000000 is an frugal number, since it uses more digits than its factorization.

212453000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212516 (or 212460 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 212453000000000 its reverse (354212), we get a palindrome (212453000354212).

The spelling of 212453000000000 in words is "two hundred twelve trillion, four hundred fifty-three billion", and thus it is an aban number.