Search a number
-
+
112031321320013 = 61113137352933617
BaseRepresentation
bin11001011110010001010011…
…000111000110101001001101
3112200200002102101222112202112
4121132101103013012221031
5104141010121224220023
61034134251205233405
732411665403041454
oct3136212307065115
9480602371875675
10112031321320013
1132773242264317
1210694506a02865
134a6867b88ba84
141d944b8509b9b
15ce42d231b478
hex65e4531c6a4d

112031321320013 has 32 divisors (see below), whose sum is σ = 115750321371360. Its totient is φ = 108388396892160.

The previous prime is 112031321319997. The next prime is 112031321320021. The reversal of 112031321320013 is 310023123130211.

It can be written as a sum of positive squares in 16 ways, for example, as 109657296740644 + 2374024579369 = 10471738^2 + 1540787^2 .

It is a cyclic number.

It is not a de Polignac number, because 112031321320013 - 24 = 112031321319997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112031321320213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3332562581 + ... + 3332596197.

It is an arithmetic number, because the mean of its divisors is an integer number (3617197542855).

Almost surely, 2112031321320013 is an apocalyptic number.

It is an amenable number.

112031321320013 is a deficient number, since it is larger than the sum of its proper divisors (3719000051347).

112031321320013 is a wasteful number, since it uses less digits than its factorization.

112031321320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37457.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 112031321320013 its reverse (310023123130211), we get a palindrome (422054444450224).

The spelling of 112031321320013 in words is "one hundred twelve trillion, thirty-one billion, three hundred twenty-one million, three hundred twenty thousand, thirteen".

Divisors: 1 61 113 137 3529 6893 8357 15481 33617 215269 398777 483473 944341 2050637 3798721 4605529 24325397 29491853 54632449 118634393 231721981 280937269 520424777 3332579389 7236697973 13405686409 16252911841 31745911397 817746870949 991427622301 1836579038033 112031321320013