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34002121430041 is a prime number
BaseRepresentation
bin1111011101100101111000…
…10111101001010000011001
311110101120102022020021100021
413232302330113221100121
513424042321041230131
6200152205310510441
710106400160302502
oct756627427512031
9143346368207307
1034002121430041
11a91a245128496
123991a09805421
1315c85038b9b1b
148579d6353ba9
153de717130e11
hex1eecbc5e9419

34002121430041 has 2 divisors, whose sum is σ = 34002121430042. Its totient is φ = 34002121430040.

The previous prime is 34002121429951. The next prime is 34002121430047. The reversal of 34002121430041 is 14003412120043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25816205331225 + 8185916098816 = 5080965^2 + 2861104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34002121430041 is a prime.

It is a super-2 number, since 2×340021214300412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34002121429988 and 34002121430015.

It is not a weakly prime, because it can be changed into another prime (34002121430047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001060715020 + 17001060715021.

It is an arithmetic number, because the mean of its divisors is an integer number (17001060715021).

Almost surely, 234002121430041 is an apocalyptic number.

It is an amenable number.

34002121430041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34002121430041 is an equidigital number, since it uses as much as digits as its factorization.

34002121430041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34002121430041 its reverse (14003412120043), we get a palindrome (48005533550084).

The spelling of 34002121430041 in words is "thirty-four trillion, two billion, one hundred twenty-one million, four hundred thirty thousand, forty-one".