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83012321 = 721694129
BaseRepresentation
bin1001111001010…
…10101011100001
312210012110111102
410330222223201
5132222343241
612123124145
72025410300
oct474525341
9183173442
1083012321
1142949427
1223973655
1314276522
14b04c437
15744b39b
hex4f2aae1

83012321 has 6 divisors (see below), whose sum is σ = 96565410. Its totient is φ = 71153376.

The previous prime is 83012243. The next prime is 83012333. The reversal of 83012321 is 12321038.

It can be written as a sum of positive squares in only one way, i.e., 46771921 + 36240400 = 6839^2 + 6020^2 .

It is a de Polignac number, because none of the positive numbers 2k-83012321 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83012293 and 83012302.

It is not an unprimeable number, because it can be changed into a prime (83012381) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 847016 + ... + 847113.

It is an arithmetic number, because the mean of its divisors is an integer number (16094235).

Almost surely, 283012321 is an apocalyptic number.

It is an amenable number.

83012321 is a deficient number, since it is larger than the sum of its proper divisors (13553089).

83012321 is a wasteful number, since it uses less digits than its factorization.

83012321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694143 (or 1694136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 83012321 is about 9111.1097567750. The cubic root of 83012321 is about 436.2286504441.

Adding to 83012321 its reverse (12321038), we get a palindrome (95333359).

The spelling of 83012321 in words is "eighty-three million, twelve thousand, three hundred twenty-one".

Divisors: 1 7 49 1694129 11858903 83012321