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1322401041 = 321326942017
BaseRepresentation
bin100111011010010…
…0011110100010001
310102011022221012100
41032310203310101
510202013313131
6335115351013
744525136423
oct11664436421
93364287170
101322401041
11619508525
1230aa52469
13180c7c230
14c78b2813
157b1677e6
hex4ed23d11

1322401041 has 24 divisors (see below), whose sum is σ = 2064764520. Its totient is φ = 810740736.

The previous prime is 1322401037. The next prime is 1322401079. The reversal of 1322401041 is 1401042231.

It can be written as a sum of positive squares in 4 ways, for example, as 97121025 + 1225280016 = 9855^2 + 35004^2 .

It is not a de Polignac number, because 1322401041 - 22 = 1322401037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1322401001) 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, 10465 + ... + 52481.

It is an arithmetic number, because the mean of its divisors is an integer number (86031855).

Almost surely, 21322401041 is an apocalyptic number.

It is an amenable number.

1322401041 is a deficient number, since it is larger than the sum of its proper divisors (742363479).

1322401041 is a wasteful number, since it uses less digits than its factorization.

1322401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42305 (or 42302 counting only the distinct ones).

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

The square root of 1322401041 is about 36364.8324758963. The cubic root of 1322401041 is about 1097.6260210242.

Adding to 1322401041 its reverse (1401042231), we get a palindrome (2723443272).

The spelling of 1322401041 in words is "one billion, three hundred twenty-two million, four hundred one thousand, forty-one".

Divisors: 1 3 9 13 39 117 269 807 2421 3497 10491 31473 42017 126051 378153 546221 1638663 4915989 11302573 33907719 101723157 146933449 440800347 1322401041