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1322122321 = 13227972
BaseRepresentation
bin100111011001101…
…1111110001010001
310102010210202212101
41032303133301101
510201430403241
6335105400401
744522566012
oct11663376121
93363722771
101322122321
11619338083
1230a939101
13180bb2400
14c783d009
157b10ee31
hex4ecdfc51

1322122321 has 9 divisors (see below), whose sum is σ = 1432159281. Its totient is φ = 1219984272.

The previous prime is 1322122279. The next prime is 1322122331. The reversal of 1322122321 is 1232212231.

The square root of 1322122321 is 36361.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26122321 + 1296000000 = 5111^2 + 36000^2 .

It is not a de Polignac number, because 1322122321 - 221 = 1320025169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322122331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 471295 + ... + 474091.

It is an arithmetic number, because the mean of its divisors is an integer number (159128809).

Almost surely, 21322122321 is an apocalyptic number.

1322122321 is the 36361-st square number.

1322122321 is the 18181-st centered octagonal number.

It is an amenable number.

1322122321 is a deficient number, since it is larger than the sum of its proper divisors (110036960).

1322122321 is an frugal number, since it uses more digits than its factorization.

1322122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 2810 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The cubic root of 1322122321 is about 1097.5489007430.

Adding to 1322122321 its reverse (1232212231), we get a palindrome (2554334552).

The spelling of 1322122321 in words is "one billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 13 169 2797 36361 472693 7823209 101701717 1322122321