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9903319901 is a prime number
BaseRepresentation
bin10010011100100100…
…01010101101011101
3221120011211202221222
421032102022231131
5130240222214101
64314410303125
7500261554526
oct111622125535
927504752858
109903319901
114222190902
121b04727aa5
13c1a969b07
1469d39784d
153ce66201b
hex24e48ab5d

9903319901 has 2 divisors, whose sum is σ = 9903319902. Its totient is φ = 9903319900.

The previous prime is 9903319891. The next prime is 9903319931. The reversal of 9903319901 is 1099133099.

9903319901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7104804100 + 2798515801 = 84290^2 + 52901^2 .

It is a cyclic number.

It is not a de Polignac number, because 9903319901 - 210 = 9903318877 is a prime.

It is a super-3 number, since 3×99033199013 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9903319931) 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, 4951659950 + 4951659951.

It is an arithmetic number, because the mean of its divisors is an integer number (4951659951).

Almost surely, 29903319901 is an apocalyptic number.

It is an amenable number.

9903319901 is a deficient number, since it is larger than the sum of its proper divisors (1).

9903319901 is an equidigital number, since it uses as much as digits as its factorization.

9903319901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 44.

The square root of 9903319901 is about 99515.4254424911. The cubic root of 9903319901 is about 2147.4691620012.

The spelling of 9903319901 in words is "nine billion, nine hundred three million, three hundred nineteen thousand, nine hundred one".