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2121293129 is a prime number
BaseRepresentation
bin111111001110000…
…0101110101001001
312110211120212010012
41332130011311021
513321022340004
6550254401305
7103365460034
oct17634056511
95424525105
102121293129
11999461a1a
124b2500235
1327a634a47
14161a3001b
15c637146e
hex7e705d49

2121293129 has 2 divisors, whose sum is σ = 2121293130. Its totient is φ = 2121293128.

The previous prime is 2121293113. The next prime is 2121293191. The reversal of 2121293129 is 9213921212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1333929529 + 787363600 = 36523^2 + 28060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121293129 - 24 = 2121293113 is a prime.

It is a super-2 number, since 2×21212931292 = 8999769078285221282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121293095 and 2121293104.

It is not a weakly prime, because it can be changed into another prime (2121293429) 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, 1060646564 + 1060646565.

It is an arithmetic number, because the mean of its divisors is an integer number (1060646565).

Almost surely, 22121293129 is an apocalyptic number.

It is an amenable number.

2121293129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121293129 is an equidigital number, since it uses as much as digits as its factorization.

2121293129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 32.

The square root of 2121293129 is about 46057.4980757748. The cubic root of 2121293129 is about 1284.8927987200.

The spelling of 2121293129 in words is "two billion, one hundred twenty-one million, two hundred ninety-three thousand, one hundred twenty-nine".