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34512327029 is a prime number
BaseRepresentation
bin100000001001000110…
…000101000101110101
310022002020000212101102
4200021012011011311
51031140123431104
623504342535445
72331150640145
oct401106050565
9108066025342
1034512327029
1113700344124
126832137585
1333401966ab
141955842925
15d6ed4ea1e
hex809185175

34512327029 has 2 divisors, whose sum is σ = 34512327030. Its totient is φ = 34512327028.

The previous prime is 34512326987. The next prime is 34512327121. The reversal of 34512327029 is 92072321543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20057074129 + 14455252900 = 141623^2 + 120230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34512327029 is a prime.

It is a super-2 number, since 2×345123270292 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34512326983 and 34512327001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34512324029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17256163514 + 17256163515.

It is an arithmetic number, because the mean of its divisors is an integer number (17256163515).

Almost surely, 234512327029 is an apocalyptic number.

It is an amenable number.

34512327029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34512327029 is an equidigital number, since it uses as much as digits as its factorization.

34512327029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 34512327029 in words is "thirty-four billion, five hundred twelve million, three hundred twenty-seven thousand, twenty-nine".