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9917438101 is a prime number
BaseRepresentation
bin10010011110010000…
…00001100010010101
3221121011102001111021
421033020001202111
5130302331004401
64320033041141
7500522555464
oct111710014225
927534361437
109917438101
11422a15403a
121b093b61b1
13c20870c8c
146a11d09db
153d0a002a1
hex24f201895

9917438101 has 2 divisors, whose sum is σ = 9917438102. Its totient is φ = 9917438100.

The previous prime is 9917438081. The next prime is 9917438173. The reversal of 9917438101 is 1018347199.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8601635025 + 1315803076 = 92745^2 + 36274^2 .

It is a cyclic number.

It is not a de Polignac number, because 9917438101 - 27 = 9917437973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9917430101) 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, 4958719050 + 4958719051.

It is an arithmetic number, because the mean of its divisors is an integer number (4958719051).

Almost surely, 29917438101 is an apocalyptic number.

It is an amenable number.

9917438101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9917438101 is an equidigital number, since it uses as much as digits as its factorization.

9917438101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 9917438101 is about 99586.3349109706. The cubic root of 9917438101 is about 2148.4891567603.

The spelling of 9917438101 in words is "nine billion, nine hundred seventeen million, four hundred thirty-eight thousand, one hundred one".