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404022201313 is a prime number
BaseRepresentation
bin1011110000100011001…
…10011000101111100001
31102121212000001100220211
411320101212120233201
523104414140420223
6505334421534121
741122022022313
oct5702146305741
91377760040824
10404022201313
11146387aaa815
1266376274341
132c139a34113
14157aa4557b3
15a799aa6d0d
hex5e11998be1

404022201313 has 2 divisors, whose sum is σ = 404022201314. Its totient is φ = 404022201312.

The previous prime is 404022201283. The next prime is 404022201329. The reversal of 404022201313 is 313102220404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400977699984 + 3044501329 = 633228^2 + 55177^2 .

It is a cyclic number.

It is not a de Polignac number, because 404022201313 - 25 = 404022201281 is a prime.

It is not a weakly prime, because it can be changed into another prime (404022201613) 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, 202011100656 + 202011100657.

It is an arithmetic number, because the mean of its divisors is an integer number (202011100657).

Almost surely, 2404022201313 is an apocalyptic number.

It is an amenable number.

404022201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

404022201313 is an equidigital number, since it uses as much as digits as its factorization.

404022201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 404022201313 its reverse (313102220404), we get a palindrome (717124421717).

The spelling of 404022201313 in words is "four hundred four billion, twenty-two million, two hundred one thousand, three hundred thirteen".