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213404430004349 is a prime number
BaseRepresentation
bin110000100001011100010111…
…001111100111000001111101
31000222121021010122112111100212
4300201130113033213001331
5210432404233040114344
62033512350340402205
762643650500362623
oct6041342717470175
91028537118474325
10213404430004349
1161aa7346328261
121bb2725b9a6365
13920cc4a2c257c
143a9ab882d7513
1519a1213ed379e
hexc217173e707d

213404430004349 has 2 divisors, whose sum is σ = 213404430004350. Its totient is φ = 213404430004348.

The previous prime is 213404430004313. The next prime is 213404430004351. The reversal of 213404430004349 is 943400034404312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157979308516324 + 55425121488025 = 12568982^2 + 7444805^2 .

It is a cyclic number.

It is not a de Polignac number, because 213404430004349 - 212 = 213404430000253 is a prime.

Together with 213404430004351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213404430004309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106702215002174 + 106702215002175.

It is an arithmetic number, because the mean of its divisors is an integer number (106702215002175).

Almost surely, 2213404430004349 is an apocalyptic number.

It is an amenable number.

213404430004349 is a deficient number, since it is larger than the sum of its proper divisors (1).

213404430004349 is an equidigital number, since it uses as much as digits as its factorization.

213404430004349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 213404430004349 in words is "two hundred thirteen trillion, four hundred four billion, four hundred thirty million, four thousand, three hundred forty-nine".