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102003822 = 23215137529
BaseRepresentation
bin1100001010001…
…11010001101110
321002221022221100
412011013101232
5202103110242
614042143530
72346006144
oct605072156
9232838840
10102003822
115263aa88
122a1b1ba6
13181958bb
14d793594
158e4d54c
hex614746e

102003822 has 24 divisors (see below), whose sum is σ = 222477840. Its totient is φ = 33775200.

The previous prime is 102003821. The next prime is 102003823. The reversal of 102003822 is 228300201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102003821) and next prime (102003823).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102003795 and 102003804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16047 + ... + 21482.

It is an arithmetic number, because the mean of its divisors is an integer number (9269910).

Almost surely, 2102003822 is an apocalyptic number.

102003822 is an abundant number, since it is smaller than the sum of its proper divisors (120474018).

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

102003822 is a wasteful number, since it uses less digits than its factorization.

102003822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37688 (or 37685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102003822 is about 10099.6941537851. The cubic root of 102003822 is about 467.2387085928.

The spelling of 102003822 in words is "one hundred two million, three thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 18 151 302 453 906 1359 2718 37529 75058 112587 225174 337761 675522 5666879 11333758 17000637 34001274 51001911 102003822