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2114011129 is a prime number
BaseRepresentation
bin111111000000001…
…0011111111111001
312110022212220002111
41332000103333321
513312141324004
6545434332321
7103246540516
oct17600237771
95408786074
102114011129
1199533893a
124abb8a0a1
13278c85379
14160a9630d
15c58d3a04
hex7e013ff9

2114011129 has 2 divisors, whose sum is σ = 2114011130. Its totient is φ = 2114011128.

The previous prime is 2114011063. The next prime is 2114011147. The reversal of 2114011129 is 9211104112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1790982400 + 323028729 = 42320^2 + 17973^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114011129 - 29 = 2114010617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2114011189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057005564 + 1057005565.

It is an arithmetic number, because the mean of its divisors is an integer number (1057005565).

Almost surely, 22114011129 is an apocalyptic number.

It is an amenable number.

2114011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114011129 is an equidigital number, since it uses as much as digits as its factorization.

2114011129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 2114011129 is about 45978.3767547311. The cubic root of 2114011129 is about 1283.4208480864.

The spelling of 2114011129 in words is "two billion, one hundred fourteen million, eleven thousand, one hundred twenty-nine".