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334106105429 is a prime number
BaseRepresentation
bin1001101110010100100…
…01101001011001010101
31011221101102120200212002
410313022101221121111
520433222130333204
6413253005205045
733065314016135
oct4671221513125
91157342520762
10334106105429
1111976a206098
1254903560785
1325676ab5b95
1412256a40ac5
158a56a1b91e
hex4dca469655

334106105429 has 2 divisors, whose sum is σ = 334106105430. Its totient is φ = 334106105428.

The previous prime is 334106105413. The next prime is 334106105461. The reversal of 334106105429 is 924501601433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333133289329 + 972816100 = 577177^2 + 31190^2 .

It is a cyclic number.

It is not a de Polignac number, because 334106105429 - 24 = 334106105413 is a prime.

It is a super-2 number, since 2×3341061054292 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 334106105392 and 334106105401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (334106105479) 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, 167053052714 + 167053052715.

It is an arithmetic number, because the mean of its divisors is an integer number (167053052715).

Almost surely, 2334106105429 is an apocalyptic number.

It is an amenable number.

334106105429 is a deficient number, since it is larger than the sum of its proper divisors (1).

334106105429 is an equidigital number, since it uses as much as digits as its factorization.

334106105429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 334106105429 in words is "three hundred thirty-four billion, one hundred six million, one hundred five thousand, four hundred twenty-nine".