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211144122009 = 3373107125379
BaseRepresentation
bin1100010010100100101…
…0111001111010011001
3202011222222220201222000
43010221022321322121
511424410343401014
6240555343151213
721153230265432
oct3045112717231
9664888821860
10211144122009
1181600396a97
1234b078a5509
1316bac068102
14a31018a489
15575b9d1509
hex31292b9e99

211144122009 has 16 divisors (see below), whose sum is σ = 317091124800. Its totient is φ = 138834489888.

The previous prime is 211144121999. The next prime is 211144122019. The reversal of 211144122009 is 900221441112.

It is a happy number.

211144122009 is a `hidden beast` number, since 2 + 1 + 11 + 441 + 2 + 200 + 9 = 666.

211144122009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211144121999) and next prime (211144122019).

It is not a de Polignac number, because 211144122009 - 25 = 211144121977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211144122019) 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 15 ways as a sum of consecutive naturals, for example, 53560719 + ... + 53564660.

It is an arithmetic number, because the mean of its divisors is an integer number (19818195300).

Almost surely, 2211144122009 is an apocalyptic number.

It is an amenable number.

211144122009 is a deficient number, since it is larger than the sum of its proper divisors (105947002791).

211144122009 is a wasteful number, since it uses less digits than its factorization.

211144122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107125461 (or 107125455 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 211144122009 in words is "two hundred eleven billion, one hundred forty-four million, one hundred twenty-two thousand, nine".

Divisors: 1 3 9 27 73 219 657 1971 107125379 321376137 964128411 2892385233 7820152667 23460458001 70381374003 211144122009