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404217348121 is a prime number
BaseRepresentation
bin1011110000111010011…
…10110100000000011001
31102122100121020212000101
411320131032310000121
523110314120114441
6505410032335401
741126611524406
oct5703516640031
91378317225011
10404217348121
11146478178474
126640b6a4561
132c16b2ac3c2
14157c83332ad
15a7abca3231
hex5e1d3b4019

404217348121 has 2 divisors, whose sum is σ = 404217348122. Its totient is φ = 404217348120.

The previous prime is 404217348023. The next prime is 404217348127. The reversal of 404217348121 is 121843712404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324659504521 + 79557843600 = 569789^2 + 282060^2 .

It is a cyclic number.

It is not a de Polignac number, because 404217348121 - 219 = 404216823833 is a prime.

It is not a weakly prime, because it can be changed into another prime (404217348127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202108674060 + 202108674061.

It is an arithmetic number, because the mean of its divisors is an integer number (202108674061).

Almost surely, 2404217348121 is an apocalyptic number.

It is an amenable number.

404217348121 is a deficient number, since it is larger than the sum of its proper divisors (1).

404217348121 is an equidigital number, since it uses as much as digits as its factorization.

404217348121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 404217348121 in words is "four hundred four billion, two hundred seventeen million, three hundred forty-eight thousand, one hundred twenty-one".