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130311112001 = 72191093114129
BaseRepresentation
bin111100101011100100…
…1011100010101000001
3110110100121100101001112
41321113021130111001
54113334121041001
6135510351213105
712262142114300
oct1712711342501
9413317311045
10130311112001
11502a0253194
1221308b17195
13c399493385
146442932437
1535ca319cbb
hex1e5725c541

130311112001 has 48 divisors (see below), whose sum is σ = 161585424000. Its totient is φ = 104483312640.

The previous prime is 130311111989. The next prime is 130311112033. The reversal of 130311112001 is 100211113031.

It is a happy number.

It is not a de Polignac number, because 130311112001 - 226 = 130244003137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130311112081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31557905 + ... + 31562033.

It is an arithmetic number, because the mean of its divisors is an integer number (3366363000).

Almost surely, 2130311112001 is an apocalyptic number.

It is an amenable number.

130311112001 is a deficient number, since it is larger than the sum of its proper divisors (31274311999).

130311112001 is a wasteful number, since it uses less digits than its factorization.

130311112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 130311112001 its reverse (100211113031), we get a palindrome (230522225032).

The spelling of 130311112001 in words is "one hundred thirty billion, three hundred eleven million, one hundred twelve thousand, one".

Divisors: 1 7 19 49 109 133 311 763 931 2071 2177 4129 5341 5909 14497 15239 28903 33899 41363 78451 101479 202321 237293 289541 450061 549157 644081 1284119 1661051 3150427 3844099 4508567 8551159 8988833 22052989 24398261 31559969 59858113 62921831 139968971 170787827 419006791 979782797 1195514789 2659410449 6858479579 18615873143 130311112001