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2122120129 is a prime number
BaseRepresentation
bin111111001111100…
…1111101111000001
312110220010212112211
41332133033233001
513321230321004
6550324222121
7103405503103
oct17637175701
95426125484
102122120129
11999977298
124b283a941
1327a8642ac
14161ba7573
15c6486504
hex7e7cfbc1

2122120129 has 2 divisors, whose sum is σ = 2122120130. Its totient is φ = 2122120128.

The previous prime is 2122120111. The next prime is 2122120141. The reversal of 2122120129 is 9210212212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1962047025 + 160073104 = 44295^2 + 12652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122120129 - 227 = 1987902401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122120229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060064 + 1061060065.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060065).

Almost surely, 22122120129 is an apocalyptic number.

It is an amenable number.

2122120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122120129 is an equidigital number, since it uses as much as digits as its factorization.

2122120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2122120129 is about 46066.4751093461. The cubic root of 2122120129 is about 1285.0597516463.

The spelling of 2122120129 in words is "two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-nine".