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130311013020111 = 3271159254018667
BaseRepresentation
bin11101101000010001100101…
…101001000011000111001111
3122002101121111112212200222200
4131220101211221003013033
5114040003423313120421
61141052015234212543
736306442244565360
oct3550214551030717
9562347445780880
10130311013020111
1138580654715540
1212747192724153
135793377c19831
14242712dbddb67
15100ea4da19726
hex768465a431cf

130311013020111 has 72 divisors (see below), whose sum is σ = 238717569028224. Its totient is φ = 66546675018720.

The previous prime is 130311013020109. The next prime is 130311013020127. The reversal of 130311013020111 is 111020310113031.

130311013020111 is a `hidden beast` number, since 13 + 0 + 311 + 0 + 130 + 201 + 11 = 666.

It is not a de Polignac number, because 130311013020111 - 21 = 130311013020109 is a prime.

It is a super-2 number, since 2×1303110130201112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311013520111) 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 71 ways as a sum of consecutive naturals, for example, 24597001 + ... + 29421666.

Almost surely, 2130311013020111 is an apocalyptic number.

130311013020111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130311013020111 is a deficient number, since it is larger than the sum of its proper divisors (108406556008113).

130311013020111 is a wasteful number, since it uses less digits than its factorization.

130311013020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54018809 (or 54018747 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 130311013020111 its reverse (111020310113031), we get a palindrome (241331323133142).

The spelling of 130311013020111 in words is "one hundred thirty trillion, three hundred eleven billion, thirteen million, twenty thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3481 3717 4543 5841 10443 13629 24367 31329 38291 40887 73101 114873 219303 268037 344619 804111 2412333 54018667 162056001 378130669 486168003 594205337 1134392007 1782616011 3187101353 3403176021 4159437359 5347848033 9561304059 12478312077 22309709471 28683912177 35058114883 37434936231 66929128413 105174344649 188038979827 200787385239 245406804181 315523033947 564116939481 736220412543 1316272858789 1692350818443 2068428778097 2208661237629 3948818576367 6205286334291 11846455729101 14479001446679 18615859002873 43437004340037 130311013020111