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212321383123212 = 22321121271914015011
BaseRepresentation
bin110000010001101011101100…
…100111101000100100001100
31000211202201121020202101201100
4300101223230213220210030
5210312133143034420322
62031323032531143100
762502466542651606
oct6021535447504414
91024681536671640
10212321383123212
1161719aa1625400
121b991381744a90
139161a888a4a9c
143a605a45c8176
151982e76a48dac
hexc11aec9e890c

212321383123212 has 432 divisors, whose sum is σ = 599295955894272. Its totient is φ = 63328003200000.

The previous prime is 212321383123207. The next prime is 212321383123247.

212321383123212 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 13 + 8 + 312 + 321 + 2 = 666.

212321383123212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42371057787 + ... + 42371062797.

Almost surely, 2212321383123212 is an apocalyptic number.

212321383123212 is a gapful number since it is divisible by the number (22) 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 212321383123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299647977947136).

212321383123212 is an abundant number, since it is smaller than the sum of its proper divisors (386974572771060).

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

212321383123212 is a wasteful number, since it uses less digits than its factorization.

212321383123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5746 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 212321383123212 in words is "two hundred twelve trillion, three hundred twenty-one billion, three hundred eighty-three million, one hundred twenty-three thousand, two hundred twelve".