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210006320211 = 32417313159513
BaseRepresentation
bin1100001110010101011…
…0100010010001010011
3202002001200221102022200
43003211112202101103
511420043104221321
6240250420134243
721113103161142
oct3034526422123
9662050842280
10210006320211
1181077102726
123484a837383
1316a5a4102cc
14a24300b759
1556e1b7ed26
hex30e55a2453

210006320211 has 48 divisors (see below), whose sum is σ = 317407682592. Its totient is φ = 133687756800.

The previous prime is 210006320203. The next prime is 210006320233. The reversal of 210006320211 is 112023600012.

210006320211 is a `hidden beast` number, since 2 + 10 + 0 + 0 + 632 + 0 + 21 + 1 = 666.

It is not a de Polignac number, because 210006320211 - 23 = 210006320203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210006327211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3498991 + ... + 3558503.

It is an arithmetic number, because the mean of its divisors is an integer number (6612660054).

Almost surely, 2210006320211 is an apocalyptic number.

210006320211 is a deficient number, since it is larger than the sum of its proper divisors (107401362381).

210006320211 is a wasteful number, since it uses less digits than its factorization.

210006320211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59764 (or 59761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210006320211 its reverse (112023600012), we get a palindrome (322029920223).

The spelling of 210006320211 in words is "two hundred ten billion, six million, three hundred twenty thousand, two hundred eleven".

Divisors: 1 3 9 41 73 123 131 219 369 393 657 1179 2993 5371 8979 9563 16113 26937 28689 48339 59513 86067 178539 392083 535617 1176249 2440033 3528747 4344449 7320099 7796203 13033347 21960297 23388609 39100041 70165827 178122409 319644323 534367227 569122819 958932969 1603101681 1707368457 2876798907 5122105371 23334035579 70002106737 210006320211