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34444200101 is a prime number
BaseRepresentation
bin100000000101000010…
…001100100010100101
310021220110211122210212
4200011002030202211
51031020203400401
623453510425205
72326362604313
oct400502144245
9107813748725
1034444200101
1113675942383
126813362205
13332c0325bc
14194a78b0b3
15d68d93dbb
hex80508c8a5

34444200101 has 2 divisors, whose sum is σ = 34444200102. Its totient is φ = 34444200100.

The previous prime is 34444200097. The next prime is 34444200143. The reversal of 34444200101 is 10100244443.

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., 30712212001 + 3731988100 = 175249^2 + 61090^2 .

It is a cyclic number.

It is not a de Polignac number, because 34444200101 - 22 = 34444200097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34444208101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17222100050 + 17222100051.

It is an arithmetic number, because the mean of its divisors is an integer number (17222100051).

Almost surely, 234444200101 is an apocalyptic number.

It is an amenable number.

34444200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34444200101 is an equidigital number, since it uses as much as digits as its factorization.

34444200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 34444200101 its reverse (10100244443), we get a palindrome (44544444544).

The spelling of 34444200101 in words is "thirty-four billion, four hundred forty-four million, two hundred thousand, one hundred one".