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984149006101 is a prime number
BaseRepresentation
bin11100101001000111101…
…10100001011100010101
310111002021000222111121221
432110203312201130111
5112111014121143401
62032040052410341
7131050062345562
oct16244366413425
93432230874557
10984149006101
1134a414503638
1213a8996169b1
1371a60354001
14358c11c1869
151a8eeda57a1
hexe523da1715

984149006101 has 2 divisors, whose sum is σ = 984149006102. Its totient is φ = 984149006100.

The previous prime is 984149006081. The next prime is 984149006149. The reversal of 984149006101 is 101600941489.

984149006101 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., 571694771025 + 412454235076 = 756105^2 + 642226^2 .

It is a cyclic number.

It is not a de Polignac number, because 984149006101 - 25 = 984149006069 is a prime.

It is a super-2 number, since 2×9841490061012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (984149076101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492074503050 + 492074503051.

It is an arithmetic number, because the mean of its divisors is an integer number (492074503051).

Almost surely, 2984149006101 is an apocalyptic number.

It is an amenable number.

984149006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

984149006101 is an equidigital number, since it uses as much as digits as its factorization.

984149006101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 984149006101 in words is "nine hundred eighty-four billion, one hundred forty-nine million, six thousand, one hundred one".