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2121116929 is a prime number
BaseRepresentation
bin111111001101101…
…1010110100000001
312110211020220102021
41332123122310001
513321001220204
6550250521441
7103364124241
oct17633326401
95424226367
102121116929
119993515a8
124b2436281
1327a5a2799
141619c5b21
15c6339154
hex7e6dad01

2121116929 has 2 divisors, whose sum is σ = 2121116930. Its totient is φ = 2121116928.

The previous prime is 2121116903. The next prime is 2121116939. The reversal of 2121116929 is 9296111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1995676929 + 125440000 = 44673^2 + 11200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121116929 - 225 = 2087562497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121116894 and 2121116903.

It is not a weakly prime, because it can be changed into another prime (2121116939) 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, 1060558464 + 1060558465.

It is an arithmetic number, because the mean of its divisors is an integer number (1060558465).

Almost surely, 22121116929 is an apocalyptic number.

It is an amenable number.

2121116929 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121116929 is an equidigital number, since it uses as much as digits as its factorization.

2121116929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 34.

The square root of 2121116929 is about 46055.5852096138. The cubic root of 2121116929 is about 1284.8572222475.

The spelling of 2121116929 in words is "two billion, one hundred twenty-one million, one hundred sixteen thousand, nine hundred twenty-nine".