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212302010302002 = 23211794556127889
BaseRepresentation
bin110000010001011001101001…
…111010001011111000110010
31000211200212121010101010000200
4300101121221322023320302
5210311324004114131002
62031310110324300030
762501212504462365
oct6021315172137062
91024625533333020
10212302010302002
1161711860128065
121b989675841616
13915ccbc12087a
143a5d6877220dc
1519826e0db8b1c
hexc11669e8be32

212302010302002 has 12 divisors (see below), whose sum is σ = 459987688987710. Its totient is φ = 70767336767328.

The previous prime is 212302010302001. The next prime is 212302010302007. The reversal of 212302010302002 is 200203010203212.

212302010302002 is a `hidden beast` number, since 2 + 1 + 230 + 201 + 0 + 30 + 200 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177118594405281 + 35183415896721 = 13308591^2 + 5931561^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11794556127889 = 212302010302002 / (2 + 1 + 2 + 3 + 0 + 2 + 0 + 1 + 0 + 3 + 0 + 2 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (212302010302001) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5897278063927 + ... + 5897278063962.

Almost surely, 2212302010302002 is an apocalyptic number.

212302010302002 is an abundant number, since it is smaller than the sum of its proper divisors (247685678685708).

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

212302010302002 is a wasteful number, since it uses less digits than its factorization.

212302010302002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794556127897 (or 11794556127894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212302010302002 its reverse (200203010203212), we get a palindrome (412505020505214).

The spelling of 212302010302002 in words is "two hundred twelve trillion, three hundred two billion, ten million, three hundred two thousand, two".

Divisors: 1 2 3 6 9 18 11794556127889 23589112255778 35383668383667 70767336767334 106151005151001 212302010302002