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3001333321121 is a prime number
BaseRepresentation
bin101011101011001101011…
…010000000110110100001
3101121220222002011000011212
4223223031122000312201
5343133212312233441
610214443221115505
7426560560204502
oct53531532006641
911556862130155
103001333321121
11a57949462663
12405818558b95
1318a041b33705
14a53a000cba9
1553111816eeb
hex2bacd680da1

3001333321121 has 2 divisors, whose sum is σ = 3001333321122. Its totient is φ = 3001333321120.

The previous prime is 3001333321069. The next prime is 3001333321123. The reversal of 3001333321121 is 1211233331003.

3001333321121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2708180379025 + 293152942096 = 1645655^2 + 541436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3001333321121 is a prime.

Together with 3001333321123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3001333321123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500666660560 + 1500666660561.

It is an arithmetic number, because the mean of its divisors is an integer number (1500666660561).

Almost surely, 23001333321121 is an apocalyptic number.

It is an amenable number.

3001333321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001333321121 is an equidigital number, since it uses as much as digits as its factorization.

3001333321121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 3001333321121 its reverse (1211233331003), we get a palindrome (4212566652124).

The spelling of 3001333321121 in words is "three trillion, one billion, three hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty-one".