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34313233441 is a prime number
BaseRepresentation
bin11111111101001110…
…100110010000100001
310021120100101212022211
4133331032212100201
51030233141432231
623432511402121
72323212446314
oct377516462041
9107510355284
1034313233441
1113608a20173
126797523341
13330ab68b36
14193721897b
15d5c623eb1
hex7fd3a6421

34313233441 has 2 divisors, whose sum is σ = 34313233442. Its totient is φ = 34313233440.

The previous prime is 34313233421. The next prime is 34313233477. The reversal of 34313233441 is 14433231343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21475437025 + 12837796416 = 146545^2 + 113304^2 .

It is a cyclic number.

It is not a de Polignac number, because 34313233441 - 213 = 34313225249 is a prime.

It is a super-3 number, since 3×343132334413 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34313233421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17156616720 + 17156616721.

It is an arithmetic number, because the mean of its divisors is an integer number (17156616721).

Almost surely, 234313233441 is an apocalyptic number.

It is an amenable number.

34313233441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34313233441 is an equidigital number, since it uses as much as digits as its factorization.

34313233441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 31.

Adding to 34313233441 its reverse (14433231343), we get a palindrome (48746464784).

The spelling of 34313233441 in words is "thirty-four billion, three hundred thirteen million, two hundred thirty-three thousand, four hundred forty-one".