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212023665210 = 235737731013701
BaseRepresentation
bin1100010101110110011…
…0000110001000111010
3202021021021221011102010
43011131212012020322
511433211024241320
6241222522550350
721214100263350
oct3053546061072
9667237834363
10212023665210
1181a119168a5
12351123683b6
1316cbc34b486
14a394cdd7d0
1557add1bae0
hex315d98623a

212023665210 has 256 divisors, whose sum is σ = 611609730048. Its totient is φ = 46033920000.

The previous prime is 212023665199. The next prime is 212023665223. The reversal of 212023665210 is 12566320212.

212023665210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57286360 + ... + 57290060.

It is an arithmetic number, because the mean of its divisors is an integer number (2389100508).

Almost surely, 2212023665210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212023665210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305804865024).

212023665210 is an abundant number, since it is smaller than the sum of its proper divisors (399586064838).

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

212023665210 is a wasteful number, since it uses less digits than its factorization.

212023665210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 212023665210 its reverse (12566320212), we get a palindrome (224589985422).

The spelling of 212023665210 in words is "two hundred twelve billion, twenty-three million, six hundred sixty-five thousand, two hundred ten".