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111001310321 = 1122339885487
BaseRepresentation
bin110011101100000110…
…0011001010001110001
3101121111212112210220112
41213120030121101301
53304312313412241
6122554315151105
711006500366346
oct1473014312161
9347455483815
10111001310321
1143091389400
121961a145495
13a60caa5615
1455301927cd
152d49e871eb
hex19d8319471

111001310321 has 12 divisors (see below), whose sum is σ = 127314477696. Its totient is φ = 96522876120.

The previous prime is 111001310311. The next prime is 111001310323. The reversal of 111001310321 is 123013100111.

It is a happy number.

It is not a de Polignac number, because 111001310321 - 230 = 109927568497 is a prime.

It is a super-2 number, since 2×1110013103212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111001310296 and 111001310305.

It is not an unprimeable number, because it can be changed into a prime (111001310323) 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 in 11 ways as a sum of consecutive naturals, for example, 19939961 + ... + 19945526.

It is an arithmetic number, because the mean of its divisors is an integer number (10609539808).

Almost surely, 2111001310321 is an apocalyptic number.

111001310321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111001310321 is a deficient number, since it is larger than the sum of its proper divisors (16313167375).

111001310321 is a wasteful number, since it uses less digits than its factorization.

111001310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39885532 (or 39885521 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 111001310321 its reverse (123013100111), we get a palindrome (234014410432).

The spelling of 111001310321 in words is "one hundred eleven billion, one million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 11 23 121 253 2783 39885487 438740357 917366201 4826143927 10091028211 111001310321