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344113112033 is a prime number
BaseRepresentation
bin1010000000111101011…
…11010110001111100001
31012220012211112022020022
411000132233112033201
521114220424041113
6422030002123225
733601305122405
oct5003657261741
91186184468208
10344113112033
11122a34976289
1256836950515
13265b0087572
1412925aa9105
158e40310908
hex501ebd63e1

344113112033 has 2 divisors, whose sum is σ = 344113112034. Its totient is φ = 344113112032.

The previous prime is 344113112003. The next prime is 344113112041. The reversal of 344113112033 is 330211311443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237356044864 + 106757067169 = 487192^2 + 326737^2 .

It is a cyclic number.

It is not a de Polignac number, because 344113112033 - 220 = 344112063457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 344113111993 and 344113112011.

It is not a weakly prime, because it can be changed into another prime (344113112003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172056556016 + 172056556017.

It is an arithmetic number, because the mean of its divisors is an integer number (172056556017).

Almost surely, 2344113112033 is an apocalyptic number.

It is an amenable number.

344113112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

344113112033 is an equidigital number, since it uses as much as digits as its factorization.

344113112033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 344113112033 its reverse (330211311443), we get a palindrome (674324423476).

The spelling of 344113112033 in words is "three hundred forty-four billion, one hundred thirteen million, one hundred twelve thousand, thirty-three".