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212301332010 = 232519331220333
BaseRepresentation
bin1100010110111000100…
…1010011111000101010
3202021222122102002122200
43011232021103320222
511434243120111020
6241310242201030
721224011355505
oct3055611237052
9667878362580
10212301332010
1182044626a99
123518b353176
1317034a29b61
14a3bdb3c13c
1557c83b8590
hex316e253e2a

212301332010 has 48 divisors (see below), whose sum is σ = 552269473704. Its totient is φ = 56584354176.

The previous prime is 212301331981. The next prime is 212301332011. The reversal of 212301332010 is 10233103212.

212301332010 is a `hidden beast` number, since 21 + 2 + 301 + 332 + 0 + 10 = 666.

212301332010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 211808891529 + 492440481 = 460227^2 + 22191^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212301332011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436197 + ... + 784136.

Almost surely, 2212301332010 is an apocalyptic number.

212301332010 is an abundant number, since it is smaller than the sum of its proper divisors (339968141694).

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

212301332010 is a wasteful number, since it uses less digits than its factorization.

212301332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222279 (or 1222276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212301332010 its reverse (10233103212), we get a palindrome (222534435222).

The spelling of 212301332010 in words is "two hundred twelve billion, three hundred one million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1933 3866 5799 9665 11598 17397 19330 28995 34794 57990 86985 173970 1220333 2440666 3660999 6101665 7321998 10982997 12203330 18304995 21965994 36609990 54914985 109829970 2358903689 4717807378 7076711067 11794518445 14153422134 21230133201 23589036890 35383555335 42460266402 70767110670 106150666005 212301332010