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2129624213 is a prime number
BaseRepresentation
bin111111011101111…
…0111110010010101
312111102021010012212
41332323313302111
513330140433323
6551153123205
7103526335643
oct17673676225
95442233185
102129624213
119a3132212
124b5259505
1327c290a92
14162b9c193
15c6e69b78
hex7eef7c95

2129624213 has 2 divisors, whose sum is σ = 2129624214. Its totient is φ = 2129624212.

The previous prime is 2129624183. The next prime is 2129624227. The reversal of 2129624213 is 3124269212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1469802244 + 659821969 = 38338^2 + 25687^2 .

It is a cyclic number.

It is not a de Polignac number, because 2129624213 - 214 = 2129607829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2129624213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2129624713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1064812106 + 1064812107.

It is an arithmetic number, because the mean of its divisors is an integer number (1064812107).

Almost surely, 22129624213 is an apocalyptic number.

It is an amenable number.

2129624213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2129624213 is an equidigital number, since it uses as much as digits as its factorization.

2129624213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 32.

The square root of 2129624213 is about 46147.8516618054. The cubic root of 2129624213 is about 1286.5726807760.

The spelling of 2129624213 in words is "two billion, one hundred twenty-nine million, six hundred twenty-four thousand, two hundred thirteen".