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230413123332373 is a prime number
BaseRepresentation
bin110100011000111100111100…
…010111100010100100010101
31010012211021112201202112201111
4310120330330113202210111
5220200042034033113443
62134014154431255021
766350540664263212
oct6430747427424425
91105737481675644
10230413123332373
1167464725299633
1221a1373497a471
139b74b30b30a97
1440c80aa044b09
151b9889292669d
hexd18f3c5e2915

230413123332373 has 2 divisors, whose sum is σ = 230413123332374. Its totient is φ = 230413123332372.

The previous prime is 230413123332323. The next prime is 230413123332377. The reversal of 230413123332373 is 373233321314032.

230413123332373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152513558731044 + 77899564601329 = 12349638^2 + 8826073^2 .

It is a cyclic number.

It is not a de Polignac number, because 230413123332373 - 233 = 230404533397781 is a prime.

It is a super-3 number, since 3×2304131233323733 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230413123332377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115206561666186 + 115206561666187.

It is an arithmetic number, because the mean of its divisors is an integer number (115206561666187).

Almost surely, 2230413123332373 is an apocalyptic number.

It is an amenable number.

230413123332373 is a deficient number, since it is larger than the sum of its proper divisors (1).

230413123332373 is an equidigital number, since it uses as much as digits as its factorization.

230413123332373 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 40.

The spelling of 230413123332373 in words is "two hundred thirty trillion, four hundred thirteen billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred seventy-three".