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2121333121 is a prime number
BaseRepresentation
bin111111001110000…
…1111100110000001
312110211122212222101
41332130033212001
513321030124441
6550255310401
7103366014445
oct17634174601
95424585871
102121333121
11999489a76
124b251b401
1327a649ccb
14161a40825
15c637d231
hex7e70f981

2121333121 has 2 divisors, whose sum is σ = 2121333122. Its totient is φ = 2121333120.

The previous prime is 2121333113. The next prime is 2121333143. The reversal of 2121333121 is 1213331212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1955850625 + 165482496 = 44225^2 + 12864^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121333121 - 23 = 2121333113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121330121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060666560 + 1060666561.

It is an arithmetic number, because the mean of its divisors is an integer number (1060666561).

Almost surely, 22121333121 is an apocalyptic number.

It is an amenable number.

2121333121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121333121 is an equidigital number, since it uses as much as digits as its factorization.

2121333121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 2121333121 is about 46057.9322267077. The cubic root of 2121333121 is about 1284.9008732146.

Adding to 2121333121 its reverse (1213331212), we get a palindrome (3334664333).

It can be divided in two parts, 2 and 121333121, that multiplied together give a palindrome (242666242).

The spelling of 2121333121 in words is "two billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty-one".