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212923313410920 = 233572361310022543
BaseRepresentation
bin110000011010011100010010…
…011101011101001101101000
31000220220021021210210020010220
4300122130102131131031220
5210402013421213122140
62032503341514210040
762564126124663600
oct6032342235351550
91026807253706126
10212923313410920
11619312a75806a2
121ba69b6aa23920
1391a677540ba68
143a81786d7bc00
1519939560a8bd0
hexc1a71275d368

212923313410920 has 192 divisors, whose sum is σ = 743264646808320. Its totient is φ = 48654710770176.

The previous prime is 212923313410901. The next prime is 212923313410931. The reversal of 212923313410920 is 29014313329212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16233169 + ... + 26255711.

It is an arithmetic number, because the mean of its divisors is an integer number (3871170035460).

Almost surely, 2212923313410920 is an apocalyptic number.

212923313410920 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 212923313410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371632323404160).

212923313410920 is an abundant number, since it is smaller than the sum of its proper divisors (530341333397400).

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

212923313410920 is a wasteful number, since it uses less digits than its factorization.

212923313410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026184 (or 10026173 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 212923313410920 in words is "two hundred twelve trillion, nine hundred twenty-three billion, three hundred thirteen million, four hundred ten thousand, nine hundred twenty".