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345072738301 is a prime number
BaseRepresentation
bin1010000010101111111…
…00000001111111111101
31012222200201020100222221
411001113330001333331
521123202110111201
6422305122205341
733634136610544
oct5012774017775
91188621210887
10345072738301
11123387623745
1256a641b3851
1326703b29a65
14129b730715b
158e996b94a1
hex5057f01ffd

345072738301 has 2 divisors, whose sum is σ = 345072738302. Its totient is φ = 345072738300.

The previous prime is 345072738253. The next prime is 345072738313. The reversal of 345072738301 is 103837270543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193841195076 + 151231543225 = 440274^2 + 388885^2 .

It is an emirp because it is prime and its reverse (103837270543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 345072738301 - 213 = 345072730109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (345072738401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172536369150 + 172536369151.

It is an arithmetic number, because the mean of its divisors is an integer number (172536369151).

Almost surely, 2345072738301 is an apocalyptic number.

It is an amenable number.

345072738301 is a deficient number, since it is larger than the sum of its proper divisors (1).

345072738301 is an equidigital number, since it uses as much as digits as its factorization.

345072738301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 345072738301 in words is "three hundred forty-five billion, seventy-two million, seven hundred thirty-eight thousand, three hundred one".