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323332331023133 is a prime number
BaseRepresentation
bin100100110000100011010110…
…0101111000010101100011101
31120101211021021002010112200022
41021201012230233002230131
5314334434103220220013
63103400453341041525
7125050663403041205
oct11141065457025435
91511737232115608
10323332331023133
1194029520673763
123031bb7b5562a5
1310b55153327163
1459bb52295d405
15275a938bc0008
hex12611acbc2b1d

323332331023133 has 2 divisors, whose sum is σ = 323332331023134. Its totient is φ = 323332331023132.

The previous prime is 323332331023123. The next prime is 323332331023157. The reversal of 323332331023133 is 331320133233323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310042966993369 + 13289364029764 = 17608037^2 + 3645458^2 .

It is a cyclic number.

It is not a de Polignac number, because 323332331023133 - 224 = 323332314245917 is a prime.

It is a super-2 number, since 2×3233323310231332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323332331023093 and 323332331023102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (323332331023123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161666165511566 + 161666165511567.

It is an arithmetic number, because the mean of its divisors is an integer number (161666165511567).

Almost surely, 2323332331023133 is an apocalyptic number.

It is an amenable number.

323332331023133 is a deficient number, since it is larger than the sum of its proper divisors (1).

323332331023133 is an equidigital number, since it uses as much as digits as its factorization.

323332331023133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 35.

Adding to 323332331023133 its reverse (331320133233323), we get a palindrome (654652464256456).

The spelling of 323332331023133 in words is "three hundred twenty-three trillion, three hundred thirty-two billion, three hundred thirty-one million, twenty-three thousand, one hundred thirty-three".