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212721465141 = 3354131455491
BaseRepresentation
bin1100011000011100101…
…1111111011100110101
3202100001220222001222000
43012013023333130311
511441123143341031
6241420051125513
721240302422443
oct3060713773465
9670056861860
10212721465141
118223a7a3259
1235287ba3899
13170a0a9a343
14a41d863b93
1558002073e6
hex31872ff735

212721465141 has 16 divisors (see below), whose sum is σ = 315201347520. Its totient is φ = 141788013840.

The previous prime is 212721465107. The next prime is 212721465149. The reversal of 212721465141 is 141564127212.

212721465141 is a `hidden beast` number, since 2 + 127 + 2 + 14 + 6 + 514 + 1 = 666.

It is not a de Polignac number, because 212721465141 - 217 = 212721334069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212721465096 and 212721465105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212721465149) 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 15 ways as a sum of consecutive naturals, for example, 581595 + ... + 873896.

It is an arithmetic number, because the mean of its divisors is an integer number (19700084220).

Almost surely, 2212721465141 is an apocalyptic number.

It is an amenable number.

212721465141 is a deficient number, since it is larger than the sum of its proper divisors (102479882379).

212721465141 is a wasteful number, since it uses less digits than its factorization.

212721465141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460913 (or 1460907 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 212721465141 in words is "two hundred twelve billion, seven hundred twenty-one million, four hundred sixty-five thousand, one hundred forty-one".

Divisors: 1 3 9 27 5413 16239 48717 146151 1455491 4366473 13099419 39298257 7878572783 23635718349 70907155047 212721465141