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101334422113 is a prime number
BaseRepresentation
bin101111001100000000…
…0001001001001100001
3100200120011121000020221
41132120000021021201
53130013103001423
6114315152203041
710215106242661
oct1363000111141
9320504530227
10101334422113
1139a807041a1
1217780839481
13972c10a422
144c943821a1
152981478e5d
hex1798009261

101334422113 has 2 divisors, whose sum is σ = 101334422114. Its totient is φ = 101334422112.

The previous prime is 101334422107. The next prime is 101334422159. The reversal of 101334422113 is 311224433101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55052644689 + 46281777424 = 234633^2 + 215132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101334422113 is a prime.

It is not a weakly prime, because it can be changed into another prime (101334426113) 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, 50667211056 + 50667211057.

It is an arithmetic number, because the mean of its divisors is an integer number (50667211057).

Almost surely, 2101334422113 is an apocalyptic number.

It is an amenable number.

101334422113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101334422113 is an equidigital number, since it uses as much as digits as its factorization.

101334422113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 101334422113 its reverse (311224433101), we get a palindrome (412558855214).

The spelling of 101334422113 in words is "one hundred one billion, three hundred thirty-four million, four hundred twenty-two thousand, one hundred thirteen".