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334213141312429 is a prime number
BaseRepresentation
bin100101111111101110000111…
…1100100010011001110101101
31121211100110112110022120102221
41023333130033210103032231
5322301222003133444204
63142451221511315341
7130253050126351561
oct11377341744231655
91554313473276387
10334213141312429
1197543aa7396925
12315988b497bb51
13114642193aa172
145c760066356a1
1528989b65ce654
hex12ff70f9133ad

334213141312429 has 2 divisors, whose sum is σ = 334213141312430. Its totient is φ = 334213141312428.

The previous prime is 334213141312403. The next prime is 334213141312487. The reversal of 334213141312429 is 924213141312433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281453401624329 + 52759739688100 = 16776573^2 + 7263590^2 .

It is a cyclic number.

It is not a de Polignac number, because 334213141312429 - 235 = 334178781574061 is a prime.

It is a super-2 number, since 2×3342131413124292 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (334213141312829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167106570656214 + 167106570656215.

It is an arithmetic number, because the mean of its divisors is an integer number (167106570656215).

Almost surely, 2334213141312429 is an apocalyptic number.

It is an amenable number.

334213141312429 is a deficient number, since it is larger than the sum of its proper divisors (1).

334213141312429 is an equidigital number, since it uses as much as digits as its factorization.

334213141312429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 43.

It can be divided in two parts, 33421314 and 1312429, that added together give a palindrome (34733743).

The spelling of 334213141312429 in words is "three hundred thirty-four trillion, two hundred thirteen billion, one hundred forty-one million, three hundred twelve thousand, four hundred twenty-nine".