Search a number
-
+
55112300321155 = 5711232475156957
BaseRepresentation
bin11001000011111110101010…
…00101010101100110000011
321020010200110222010210022221
430201333111011111212003
524210424442340234110
6313114124035311511
714415506115233350
oct1441772505254603
9236120428123287
1055112300321155
1116618aa4836020
126221171a4b597
13249a0b573c4cc
14d87641887627
156588e63b07da
hex321fd5155983

55112300321155 has 96 divisors (see below), whose sum is σ = 86214195099648. Its totient is φ = 32854499040000.

The previous prime is 55112300321149. The next prime is 55112300321191.

It is a happy number.

55112300321155 is nontrivially palindromic in base 10.

55112300321155 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55112300321155 - 27 = 55112300321027 is a prime.

It is a super-2 number, since 2×551123003211552 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55112300321155.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 967583937 + ... + 967640893.

It is an arithmetic number, because the mean of its divisors is an integer number (898064532288).

Almost surely, 255112300321155 is an apocalyptic number.

55112300321155 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55112300321155 is a deficient number, since it is larger than the sum of its proper divisors (31101894778493).

55112300321155 is a wasteful number, since it uses less digits than its factorization.

55112300321155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61777 (or 61754 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

It can be divided in two parts, 55112300 and 321155, that added together give a palindrome (55433455).

The spelling of 55112300321155 in words is "fifty-five trillion, one hundred twelve billion, three hundred million, three hundred twenty-one thousand, one hundred fifty-five".

Divisors: 1 5 7 11 23 35 55 77 115 161 253 385 529 805 1265 1771 2645 3703 4751 5819 8855 18515 23755 29095 33257 40733 52261 56957 109273 166285 203665 261305 284785 365827 398699 546365 626527 764911 1202003 1310011 1829135 1993495 2513279 3132635 3824555 4385689 6010015 6550055 8414021 9170077 12566395 14410121 17592953 21928445 27646069 30130253 42070105 45850385 72050605 87964765 100870847 138230345 150651265 193522483 210911771 270602707 331432783 504354235 967612415 1054558855 1353013535 1657163915 1894218949 2320029481 2976629777 6223862261 9471094745 11600147405 14883148885 20836408439 31119311305 43567035827 68462484871 104182042195 143148832003 217835179135 342312424355 479237394097 715744160015 1002041824021 1574637152033 2396186970485 5010209120105 7873185760165 11022460064231 55112300321155