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10011143305 = 559257132047
BaseRepresentation
bin10010101001011010…
…11110110010001001
3221211200201202212101
421110231132302021
5131000323041210
64333221313401
7503041212502
oct112455366211
927750652771
1010011143305
114278036159
121b34865861
13c370bc547
146ad823ba9
153d8d5ea3a
hex254b5ec89

10011143305 has 16 divisors (see below), whose sum is σ = 12264618240. Its totient is φ = 7842476032.

The previous prime is 10011143293. The next prime is 10011143353. The reversal of 10011143305 is 50334111001.

10011143305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10011143305 is a prime.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 9792 + ... + 141838.

It is an arithmetic number, because the mean of its divisors is an integer number (766538640).

Almost surely, 210011143305 is an apocalyptic number.

It is an amenable number.

10011143305 is a deficient number, since it is larger than the sum of its proper divisors (2253474935).

10011143305 is a wasteful number, since it uses less digits than its factorization.

10011143305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132368.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10011143305 its reverse (50334111001), we get a palindrome (60345254306).

The spelling of 10011143305 in words is "ten billion, eleven million, one hundred forty-three thousand, three hundred five".

Divisors: 1 5 59 257 295 1285 15163 75815 132047 660235 7790773 33936079 38953865 169680395 2002228661 10011143305