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34134362221 is a prime number
BaseRepresentation
bin11111110010100100…
…010000100001101101
310021002212211021010211
4133302210100201231
51024401344042341
623403041502421
72315611202011
oct376244204155
9107085737124
1034134362221
1113526a59613
126747641a11
1332aca9b98b
14191b576541
15d4ba90181
hex7f291086d

34134362221 has 2 divisors, whose sum is σ = 34134362222. Its totient is φ = 34134362220.

The previous prime is 34134362183. The next prime is 34134362287. The reversal of 34134362221 is 12226343143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33055239721 + 1079122500 = 181811^2 + 32850^2 .

It is a cyclic number.

It is not a de Polignac number, because 34134362221 - 225 = 34100807789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34134362021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067181110 + 17067181111.

It is an arithmetic number, because the mean of its divisors is an integer number (17067181111).

Almost surely, 234134362221 is an apocalyptic number.

It is an amenable number.

34134362221 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134362221 is an equidigital number, since it uses as much as digits as its factorization.

34134362221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 31.

It can be divided in two parts, 3413 and 4362221, that added together give a palindrome (4365634).

The spelling of 34134362221 in words is "thirty-four billion, one hundred thirty-four million, three hundred sixty-two thousand, two hundred twenty-one".