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2121132011 is a prime number
BaseRepresentation
bin111111001101101…
…1110011111101011
312110211021200002212
41332123132133223
513321002211021
6550251115335
7103364216225
oct17633363753
95424250085
102121132011
11999361969
124b2442b4b
1327a5a95cb
141619cb415
15c633d85b
hex7e6de7eb

2121132011 has 2 divisors, whose sum is σ = 2121132012. Its totient is φ = 2121132010.

The previous prime is 2121132001. The next prime is 2121132017. The reversal of 2121132011 is 1102311212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2121132011 is a prime.

It is a super-3 number, since 3×21211320113 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2121132017) 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, 1060566005 + 1060566006.

It is an arithmetic number, because the mean of its divisors is an integer number (1060566006).

Almost surely, 22121132011 is an apocalyptic number.

2121132011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121132011 is an equidigital number, since it uses as much as digits as its factorization.

2121132011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2121132011 is about 46055.7489462499. The cubic root of 2121132011 is about 1284.8602675253.

Adding to 2121132011 its reverse (1102311212), we get a palindrome (3223443223).

The spelling of 2121132011 in words is "two billion, one hundred twenty-one million, one hundred thirty-two thousand, eleven".