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443001000113 = 7270501128237
BaseRepresentation
bin1100111001001001110…
…10101101000010110001
31120100110111112111201122
412130210322231002301
524224231224000423
6535302320512025
744001656241200
oct6344472550261
91510414474648
10443001000113
1116096a574221
1271a3417b615
1332a0c3653c9
1417627157237
15b7cbac08c8
hex6724ead0b1

443001000113 has 12 divisors (see below), whose sum is σ = 515339022132. Its totient is φ = 379706796000.

The previous prime is 443001000107. The next prime is 443001000139. The reversal of 443001000113 is 311000100344.

It can be written as a sum of positive squares in 2 ways, for example, as 190788124849 + 252212875264 = 436793^2 + 502208^2 .

It is not a de Polignac number, because 443001000113 - 222 = 442996805809 is a prime.

It is a super-2 number, since 2×4430010001132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 443001000091 and 443001000100.

It is not an unprimeable number, because it can be changed into a prime (443001000193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3390431 + ... + 3518667.

It is an arithmetic number, because the mean of its divisors is an integer number (42944918511).

Almost surely, 2443001000113 is an apocalyptic number.

It is an amenable number.

443001000113 is a deficient number, since it is larger than the sum of its proper divisors (72338022019).

443001000113 is a wasteful number, since it uses less digits than its factorization.

443001000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198752 (or 198745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 443001000113 its reverse (311000100344), we get a palindrome (754001100457).

The spelling of 443001000113 in words is "four hundred forty-three billion, one million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 7 49 70501 128237 493507 897659 3454549 6283613 9040836737 63285857159 443001000113