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102000114 = 2331939787
BaseRepresentation
bin1100001010001…
…10010111110010
321002221010212000
412011012113302
5202103000424
614042114430
72345662266
oct605062762
9232833760
10102000114
1152638217
122a1aba16
1318193cc8
14d7920a6
158e4c3c9
hex61465f2

102000114 has 32 divisors (see below), whose sum is σ = 227864640. Its totient is φ = 33820416.

The previous prime is 102000109. The next prime is 102000131. The reversal of 102000114 is 411000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102000096 and 102000105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5529 + ... + 15315.

It is an arithmetic number, because the mean of its divisors is an integer number (7120770).

Almost surely, 2102000114 is an apocalyptic number.

102000114 is an abundant number, since it is smaller than the sum of its proper divisors (125864526).

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

102000114 is a wasteful number, since it uses less digits than its factorization.

102000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102000114 is about 10099.5105822015. The cubic root of 102000114 is about 467.2330469026.

Adding to 102000114 its reverse (411000201), we get a palindrome (513000315).

The spelling of 102000114 in words is "one hundred two million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 193 386 579 1158 1737 3474 5211 9787 10422 19574 29361 58722 88083 176166 264249 528498 1888891 3777782 5666673 11333346 17000019 34000038 51000057 102000114