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9913444440101 is a prime number
BaseRepresentation
bin1001000001000010011101…
…0101011001100000100101
31022002201022222200020020122
42100100213111121200211
52244410213234040401
633030101251011325
72042136252255206
oct220204725314045
938081288606218
109913444440101
1131822a4a41844
121141360599b45
1356baabb1b8a7
14263b558895ad
15122d1119b21b
hex90427559825

9913444440101 has 2 divisors, whose sum is σ = 9913444440102. Its totient is φ = 9913444440100.

The previous prime is 9913444440077. The next prime is 9913444440103. The reversal of 9913444440101 is 1010444443199.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9905276980225 + 8167459876 = 3147265^2 + 90374^2 .

It is a cyclic number.

It is not a de Polignac number, because 9913444440101 - 230 = 9912370698277 is a prime.

Together with 9913444440103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9913444440103) 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, 4956722220050 + 4956722220051.

It is an arithmetic number, because the mean of its divisors is an integer number (4956722220051).

Almost surely, 29913444440101 is an apocalyptic number.

It is an amenable number.

9913444440101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9913444440101 is an equidigital number, since it uses as much as digits as its factorization.

9913444440101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 9913444440101 in words is "nine trillion, nine hundred thirteen billion, four hundred forty-four million, four hundred forty thousand, one hundred one".