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82119321 = 3289157653
BaseRepresentation
bin1001110010100…
…00101010011001
312201112002112100
410321100222121
5132010304241
612052034013
72015000634
oct471205231
9181462470
1082119321
1142399509
1223602909
1314022c1b
14ac98c1b
1573219b6
hex4e50a99

82119321 has 24 divisors (see below), whose sum is σ = 120898440. Its totient is φ = 53703936.

The previous prime is 82119251. The next prime is 82119409. The reversal of 82119321 is 12391128.

It can be written as a sum of positive squares in 4 ways, for example, as 35721 + 82083600 = 189^2 + 9060^2 .

It is not a de Polignac number, because 82119321 - 218 = 81857177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82119221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125431 + ... + 126083.

It is an arithmetic number, because the mean of its divisors is an integer number (5037435).

Almost surely, 282119321 is an apocalyptic number.

It is an amenable number.

82119321 is a deficient number, since it is larger than the sum of its proper divisors (38779119).

82119321 is a wasteful number, since it uses less digits than its factorization.

82119321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 82119321 is about 9061.9711431895. The cubic root of 82119321 is about 434.6587732261.

The spelling of 82119321 in words is "eighty-two million, one hundred nineteen thousand, three hundred twenty-one".

Divisors: 1 3 9 89 157 267 471 653 801 1413 1959 5877 13973 41919 58117 102521 125757 174351 307563 523053 922689 9124369 27373107 82119321