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1322131307 = 7312196541
BaseRepresentation
bin100111011001110…
…0001111101101011
310102010211020012012
41032303201331223
510201431200212
6335105510135
744522634140
oct11663417553
93363736165
101322131307
11619343902
1230a94234b
13180bb6523
14c78423c7
157b112922
hex4ece1f6b

1322131307 has 12 divisors (see below), whose sum is σ = 1561329648. Its totient is φ = 1096693200.

The previous prime is 1322131289. The next prime is 1322131313. The reversal of 1322131307 is 7031312231.

It is not a de Polignac number, because 1322131307 - 28 = 1322131051 is a prime.

It is a super-3 number, since 3×13221313073 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91544 + ... + 104997.

It is an arithmetic number, because the mean of its divisors is an integer number (130110804).

Almost surely, 21322131307 is an apocalyptic number.

1322131307 is a deficient number, since it is larger than the sum of its proper divisors (239198341).

1322131307 is an equidigital number, since it uses as much as digits as its factorization.

1322131307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196610 (or 196579 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 1322131307 is about 36361.1235662486. The cubic root of 1322131307 is about 1097.5513872885.

Adding to 1322131307 its reverse (7031312231), we get a palindrome (8353443538).

The spelling of 1322131307 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred seven".

Divisors: 1 7 31 217 961 6727 196541 1375787 6092771 42649397 188875901 1322131307