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332103203132033 is a prime number
BaseRepresentation
bin100101110000010111100110…
…1011100111001001010000001
31121112212202102020101111122202
41023200233031130321022001
5322012134330000211113
63134154034425442545
7126644443652626244
oct11340571534711201
91545782366344582
10332103203132033
11969001a5289a13
12312b79aa940455
13113402753b2158
145c01c48c9525b
15285db76b6b258
hex12e0bcd739281

332103203132033 has 2 divisors, whose sum is σ = 332103203132034. Its totient is φ = 332103203132032.

The previous prime is 332103203132021. The next prime is 332103203132143. The reversal of 332103203132033 is 330231302301233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224937394355569 + 107165808776464 = 14997913^2 + 10352092^2 .

It is an emirp because it is prime and its reverse (330231302301233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 332103203132033 - 230 = 332102129390209 is a prime.

It is a super-2 number, since 2×3321032031320332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332103203131987 and 332103203132005.

It is not a weakly prime, because it can be changed into another prime (332103203132003) 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, 166051601566016 + 166051601566017.

It is an arithmetic number, because the mean of its divisors is an integer number (166051601566017).

Almost surely, 2332103203132033 is an apocalyptic number.

It is an amenable number.

332103203132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

332103203132033 is an equidigital number, since it uses as much as digits as its factorization.

332103203132033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 332103203132033 its reverse (330231302301233), we get a palindrome (662334505433266).

The spelling of 332103203132033 in words is "three hundred thirty-two trillion, one hundred three billion, two hundred three million, one hundred thirty-two thousand, thirty-three".