Search a number
-
+
332322213100121 is a prime number
BaseRepresentation
bin100101110001111101100101…
…1011101100111101001011001
31121120122200201102021121221022
41023203323023131213221121
5322024231343023200441
63134442414521252225
7126666326144633606
oct11343731335475131
91546580642247838
10332322213100121
1196985071744542
1231332330934075
1311357b08c4bc4a
145c0c6a39876ad
1528646e3e9884b
hex12e3ecb767a59

332322213100121 has 2 divisors, whose sum is σ = 332322213100122. Its totient is φ = 332322213100120.

The previous prime is 332322213100057. The next prime is 332322213100139. The reversal of 332322213100121 is 121001312223233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298398158382025 + 33924054718096 = 17274205^2 + 5824436^2 .

It is a cyclic number.

It is not a de Polignac number, because 332322213100121 - 26 = 332322213100057 is a prime.

It is a super-2 number, since 2×3323222131001212 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332322213100621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166161106550060 + 166161106550061.

It is an arithmetic number, because the mean of its divisors is an integer number (166161106550061).

Almost surely, 2332322213100121 is an apocalyptic number.

It is an amenable number.

332322213100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

332322213100121 is an equidigital number, since it uses as much as digits as its factorization.

332322213100121 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 26.

Adding to 332322213100121 its reverse (121001312223233), we get a palindrome (453323525323354).

The spelling of 332322213100121 in words is "three hundred thirty-two trillion, three hundred twenty-two billion, two hundred thirteen million, one hundred thousand, one hundred twenty-one".