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34041233353 is a prime number
BaseRepresentation
bin11111101101000000…
…111111111111001001
310020212101120211100111
4133231000333333021
51024204023431403
623345513434321
72313400465201
oct375500777711
9106771524314
1034041233353
1113489430506
12672040b9a1
1332966c283a
14190d053401
15d437e656d
hex7ed03ffc9

34041233353 has 2 divisors, whose sum is σ = 34041233354. Its totient is φ = 34041233352.

The previous prime is 34041233351. The next prime is 34041233459. The reversal of 34041233353 is 35333214043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26752854969 + 7288378384 = 163563^2 + 85372^2 .

It is a cyclic number.

It is not a de Polignac number, because 34041233353 - 21 = 34041233351 is a prime.

Together with 34041233351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34041233351) 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, 17020616676 + 17020616677.

It is an arithmetic number, because the mean of its divisors is an integer number (17020616677).

Almost surely, 234041233353 is an apocalyptic number.

It is an amenable number.

34041233353 is a deficient number, since it is larger than the sum of its proper divisors (1).

34041233353 is an equidigital number, since it uses as much as digits as its factorization.

34041233353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 34041233353 its reverse (35333214043), we get a palindrome (69374447396).

The spelling of 34041233353 in words is "thirty-four billion, forty-one million, two hundred thirty-three thousand, three hundred fifty-three".