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102982321 = 1331325309
BaseRepresentation
bin1100010001101…
…10001010110001
321011210001012001
412020312022301
5202330413241
614115134001
72360223001
oct610661261
9234701161
10102982321
1153149162
122a5a4301
13184490b0
14d96a001
159093431
hex62362b1

102982321 has 8 divisors (see below), whose sum is σ = 111262760. Its totient is φ = 94753152.

The previous prime is 102982289. The next prime is 102982331. The reversal of 102982321 is 123289201.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 101909025 = 1036^2 + 10095^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102982321 - 25 = 102982289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102982321.

It is not an unprimeable number, because it can be changed into a prime (102982331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8586 + ... + 16723.

It is an arithmetic number, because the mean of its divisors is an integer number (13907845).

Almost surely, 2102982321 is an apocalyptic number.

It is an amenable number.

102982321 is a deficient number, since it is larger than the sum of its proper divisors (8280439).

102982321 is a wasteful number, since it uses less digits than its factorization.

102982321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25635.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 102982321 is about 10148.0205458996. The cubic root of 102982321 is about 468.7279940840.

The spelling of 102982321 in words is "one hundred two million, nine hundred eighty-two thousand, three hundred twenty-one".

Divisors: 1 13 313 4069 25309 329017 7921717 102982321