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202114014329 is a prime number
BaseRepresentation
bin1011110000111011101…
…1110001110001111001
3201022200200011201222102
42330032323301301321
511302412141424304
6232503324433145
720413400530043
oct2741673616171
9638620151872
10202114014329
1178797101487
12332076a87b5
13160a02a5b26
149ad4b78a93
1553cdd58d1e
hex2f0eef1c79

202114014329 has 2 divisors, whose sum is σ = 202114014330. Its totient is φ = 202114014328.

The previous prime is 202114014307. The next prime is 202114014331. The reversal of 202114014329 is 923410411202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178863863929 + 23250150400 = 422923^2 + 152480^2 .

It is a cyclic number.

It is not a de Polignac number, because 202114014329 - 212 = 202114010233 is a prime.

Together with 202114014331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (202114014029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101057007164 + 101057007165.

It is an arithmetic number, because the mean of its divisors is an integer number (101057007165).

Almost surely, 2202114014329 is an apocalyptic number.

It is an amenable number.

202114014329 is a deficient number, since it is larger than the sum of its proper divisors (1).

202114014329 is an equidigital number, since it uses as much as digits as its factorization.

202114014329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 202114014329 in words is "two hundred two billion, one hundred fourteen million, fourteen thousand, three hundred twenty-nine".