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223154404120393 is a prime number
BaseRepresentation
bin110010101111010100101110…
…111111001101011101001001
31002021010100112002221211221221
4302233110232333031131021
5213222130204423323033
62110335415031202041
765001242110064104
oct6257245677153511
91067110462854857
10223154404120393
1165116284559029
122104099a516321
1397694a6bc8555
143d16a333d773b
151abeb58be812d
hexcaf52efcd749

223154404120393 has 2 divisors, whose sum is σ = 223154404120394. Its totient is φ = 223154404120392.

The previous prime is 223154404120339. The next prime is 223154404120421. The reversal of 223154404120393 is 393021404451322.

Together with previous prime (223154404120339) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167324262710544 + 55830141409849 = 12935388^2 + 7471957^2 .

It is a cyclic number.

It is not a de Polignac number, because 223154404120393 - 225 = 223154370565961 is a prime.

It is a super-3 number, since 3×2231544041203933 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223154404126393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111577202060196 + 111577202060197.

It is an arithmetic number, because the mean of its divisors is an integer number (111577202060197).

Almost surely, 2223154404120393 is an apocalyptic number.

It is an amenable number.

223154404120393 is a deficient number, since it is larger than the sum of its proper divisors (1).

223154404120393 is an equidigital number, since it uses as much as digits as its factorization.

223154404120393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 223154404120393 in words is "two hundred twenty-three trillion, one hundred fifty-four billion, four hundred four million, one hundred twenty thousand, three hundred ninety-three".