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2120121331 is a prime number
BaseRepresentation
bin111111001011110…
…0111101111110011
312110202101022201021
41332113213233303
513320222340311
6550213320311
7103352506516
oct17627475763
95422338637
102120121331
11998831599
124b2036097
1327a314583
14161806d7d
15c61de171
hex7e5e7bf3

2120121331 has 2 divisors, whose sum is σ = 2120121332. Its totient is φ = 2120121330.

The previous prime is 2120121319. The next prime is 2120121343. The reversal of 2120121331 is 1331210212.

It is a balanced prime because it is at equal distance from previous prime (2120121319) and next prime (2120121343).

It is a cyclic number.

It is not a de Polignac number, because 2120121331 - 221 = 2118024179 is a prime.

It is a super-2 number, since 2×21201213312 = 8989828916322423122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2120121371) 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, 1060060665 + 1060060666.

It is an arithmetic number, because the mean of its divisors is an integer number (1060060666).

Almost surely, 22120121331 is an apocalyptic number.

2120121331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120121331 is an equidigital number, since it uses as much as digits as its factorization.

2120121331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2120121331 is about 46044.7752844989. The cubic root of 2120121331 is about 1284.6561644216.

Adding to 2120121331 its reverse (1331210212), we get a palindrome (3451331543).

The spelling of 2120121331 in words is "two billion, one hundred twenty million, one hundred twenty-one thousand, three hundred thirty-one".