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1322122132033 is a prime number
BaseRepresentation
bin10011001111010100100…
…111101011101001000001
311200101121222001012100121
4103033110213223221001
5133130201231211113
62451212521420241
7164343263461213
oct23172447535101
94611558035317
101322122132033
1146a78852643a
121942a003a681
13978a233b8b1
1447dc363c5b3
15245d112ae8d
hex133d49eba41

1322122132033 has 2 divisors, whose sum is σ = 1322122132034. Its totient is φ = 1322122132032.

The previous prime is 1322122132027. The next prime is 1322122132109. The reversal of 1322122132033 is 3302312212231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1253555662129 + 68566469904 = 1119623^2 + 261852^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322122132033 - 221 = 1322120034881 is a prime.

It is a super-2 number, since 2×13221221320332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322122131989 and 1322122132007.

It is not a weakly prime, because it can be changed into another prime (1322122132433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661061066016 + 661061066017.

It is an arithmetic number, because the mean of its divisors is an integer number (661061066017).

Almost surely, 21322122132033 is an apocalyptic number.

It is an amenable number.

1322122132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322122132033 is an equidigital number, since it uses as much as digits as its factorization.

1322122132033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1322122132033 its reverse (3302312212231), we get a palindrome (4624434344264).

The spelling of 1322122132033 in words is "one trillion, three hundred twenty-two billion, one hundred twenty-two million, one hundred thirty-two thousand, thirty-three".