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34104414031 is a prime number
BaseRepresentation
bin11111110000110010…
…000000111101001111
310021000210110201221121
4133300302000331033
51024321212222111
623400051541411
72315065510342
oct376062007517
9107023421847
1034104414031
1113511064046
1267395ba867
1332a681445c
1419175bc459
15d49126871
hex7f0c80f4f

34104414031 has 2 divisors, whose sum is σ = 34104414032. Its totient is φ = 34104414030.

The previous prime is 34104413971. The next prime is 34104414049. The reversal of 34104414031 is 13041440143.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34104414031 is a prime.

It is a super-2 number, since 2×341044140312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34104413987 and 34104414005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34104414061) 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, 17052207015 + 17052207016.

It is an arithmetic number, because the mean of its divisors is an integer number (17052207016).

Almost surely, 234104414031 is an apocalyptic number.

34104414031 is a deficient number, since it is larger than the sum of its proper divisors (1).

34104414031 is an equidigital number, since it uses as much as digits as its factorization.

34104414031 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 34104414031 its reverse (13041440143), we get a palindrome (47145854174).

The spelling of 34104414031 in words is "thirty-four billion, one hundred four million, four hundred fourteen thousand, thirty-one".