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345105500381 is a prime number
BaseRepresentation
bin1010000010110011110…
…01000000100011011101
31012222202222212212010022
411001121321000203131
521123234002003011
6422312252321525
733635015232035
oct5013171004335
91188688785108
10345105500381
111233a4070344
1256a731732a5
132670a85acc5
14129bb7d48c5
158e9c4db8db
hex5059e408dd

345105500381 has 2 divisors, whose sum is σ = 345105500382. Its totient is φ = 345105500380.

The previous prime is 345105500347. The next prime is 345105500479. The reversal of 345105500381 is 183005501543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190365543481 + 154739956900 = 436309^2 + 393370^2 .

It is an emirp because it is prime and its reverse (183005501543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 345105500381 - 26 = 345105500317 is a prime.

It is a super-2 number, since 2×3451055003812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (345105506381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172552750190 + 172552750191.

It is an arithmetic number, because the mean of its divisors is an integer number (172552750191).

Almost surely, 2345105500381 is an apocalyptic number.

It is an amenable number.

345105500381 is a deficient number, since it is larger than the sum of its proper divisors (1).

345105500381 is an equidigital number, since it uses as much as digits as its factorization.

345105500381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 345105500381 in words is "three hundred forty-five billion, one hundred five million, five hundred thousand, three hundred eighty-one".