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102014211 = 31319314441
BaseRepresentation
bin1100001010010…
…01110100000011
321002221212012010
412011021310003
5202103423321
614042304003
72346051345
oct605116403
9232855163
10102014211
1152647872
122a1b8003
131819a550
14d797295
158e51676
hex6149d03

102014211 has 32 divisors (see below), whose sum is σ = 159201280. Its totient is φ = 57542400.

The previous prime is 102014207. The next prime is 102014219. The reversal of 102014211 is 112410201.

It is a happy number.

It is not a de Polignac number, because 102014211 - 22 = 102014207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102014219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20751 + ... + 25191.

It is an arithmetic number, because the mean of its divisors is an integer number (4975040).

Almost surely, 2102014211 is an apocalyptic number.

102014211 is a deficient number, since it is larger than the sum of its proper divisors (57187069).

102014211 is a wasteful number, since it uses less digits than its factorization.

102014211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102014211 is about 10100.2084631952. The cubic root of 102014211 is about 467.2545706722.

Adding to 102014211 its reverse (112410201), we get a palindrome (214424412).

The spelling of 102014211 in words is "one hundred two million, fourteen thousand, two hundred eleven".

Divisors: 1 3 13 19 31 39 57 93 247 403 589 741 1209 1767 4441 7657 13323 22971 57733 84379 137671 173199 253137 413013 1096927 1789723 2615749 3290781 5369169 7847247 34004737 102014211