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111032312313 = 313173596832
BaseRepresentation
bin110011101101000001…
…0101010000111111001
3101121121000212212122110
41213122002222013321
53304343232443223
6123001343442533
711010325040226
oct1473202520771
9347530785573
10111032312313
11430a793368a
12196285b6449
13a61633b6b0
14553434294d
152d4ca5cd93
hex19da0aa1f9

111032312313 has 48 divisors (see below), whose sum is σ = 169527738240. Its totient is φ = 64035282432.

The previous prime is 111032312299. The next prime is 111032312323. The reversal of 111032312313 is 313213230111.

It is a happy number.

It is not a de Polignac number, because 111032312313 - 26 = 111032312249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111032312313.

It is not an unprimeable number, because it can be changed into a prime (111032312323) 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 47 ways as a sum of consecutive naturals, for example, 162565270 + ... + 162565952.

It is an arithmetic number, because the mean of its divisors is an integer number (3531827880).

Almost surely, 2111032312313 is an apocalyptic number.

111032312313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111032312313 is a deficient number, since it is larger than the sum of its proper divisors (58495425927).

111032312313 is an equidigital number, since it uses as much as digits as its factorization.

111032312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 111032312313 its reverse (313213230111), we get a palindrome (424245542424).

The spelling of 111032312313 in words is "one hundred eleven billion, thirty-two million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 13 17 39 51 221 359 663 683 1077 2049 4667 6103 8879 11611 14001 18309 26637 34833 79339 150943 238017 245197 452829 466489 735591 1399467 3187561 4168349 6064357 7930313 9562683 12505047 18193071 23790939 54188537 103094069 162565611 167469551 309282207 502408653 2177104163 2846982367 6531312489 8540947101 37010770771 111032312313