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130311131113223 = 1758737993343709
BaseRepresentation
bin11101101000010001101100…
…101011100010011100000111
3122002101121210210002110021122
4131220101230223202130013
5114040004144031110343
61141052035053304155
736306445210425224
oct3550215453423407
9562347723073248
10130311131113223
1138580705344655
121274720619505b
135793396526808
14242714178094b
15100ea59095068
hex76846cae2707

130311131113223 has 16 divisors (see below), whose sum is σ = 138215585360160. Its totient is φ = 122433255054336.

The previous prime is 130311131113139. The next prime is 130311131113237. The reversal of 130311131113223 is 322311131113031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130311131113223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130311131113192 and 130311131113201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311131113283) 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 15 ways as a sum of consecutive naturals, for example, 378960293 + ... + 379304001.

It is an arithmetic number, because the mean of its divisors is an integer number (8638474085010).

Almost surely, 2130311131113223 is an apocalyptic number.

130311131113223 is a deficient number, since it is larger than the sum of its proper divisors (7904454246937).

130311131113223 is a wasteful number, since it uses less digits than its factorization.

130311131113223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382306.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 130311131113223 its reverse (322311131113031), we get a palindrome (452622262226254).

The spelling of 130311131113223 in words is "one hundred thirty trillion, three hundred eleven billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 17 587 9979 37993 343709 645881 5843053 22301891 201757183 379132147 3429872111 13058536037 221995112629 7665360653719 130311131113223