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1322314413 = 37236414271
BaseRepresentation
bin100111011010000…
…1110101010101101
310102011011112100220
41032310032222231
510202003030123
6335113441553
744524326030
oct11664165255
93364145326
101322314413
11619459432
1230aa102b9
13180c4b984
14c788d017
157b14bce3
hex4ed0eaad

1322314413 has 32 divisors (see below), whose sum is σ = 2106335232. Its totient is φ = 721459200.

The previous prime is 1322314397. The next prime is 1322314447. The reversal of 1322314413 is 3144132231.

It is a happy number.

It is not a de Polignac number, because 1322314413 - 24 = 1322314397 is a prime.

It is a super-3 number, since 3×13223144133 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322312413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307468 + ... + 311738.

It is an arithmetic number, because the mean of its divisors is an integer number (65822976).

Almost surely, 21322314413 is an apocalyptic number.

It is an amenable number.

1322314413 is a deficient number, since it is larger than the sum of its proper divisors (784020819).

1322314413 is a wasteful number, since it uses less digits than its factorization.

1322314413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945.

The product of its digits is 1728, while the sum is 24.

The square root of 1322314413 is about 36363.6413605678. The cubic root of 1322314413 is about 1097.6020526968.

Adding to 1322314413 its reverse (3144132231), we get a palindrome (4466446644).

The spelling of 1322314413 in words is "one billion, three hundred twenty-two million, three hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 7 21 23 69 161 483 641 1923 4271 4487 12813 13461 14743 29897 44229 89691 98233 103201 294699 309603 687631 2062893 2737711 8213133 19163977 57491931 62967353 188902059 440771471 1322314413