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130343120314011 = 3311719361012891
BaseRepresentation
bin11101101000101111011111…
…011000101001111010011011
3122002111200101011102020011000
4131220233133120221322123
5114041020202300022021
61141114445225040043
736311660013230253
oct3550573730517233
9562450334366130
10130343120314011
1138593230419680
1212751453326023
1357963c3a546a7
1424288d8072963
1510107cc64bb26
hex768bdf629e9b

130343120314011 has 32 divisors (see below), whose sum is σ = 210684837623040. Its totient is φ = 78984846878400.

The previous prime is 130343120313853. The next prime is 130343120314019. The reversal of 130343120314011 is 110413021343031.

130343120314011 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 431 + 203 + 14 + 0 + 11 = 666.

It is not a de Polignac number, because 130343120314011 - 29 = 130343120313499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130343120314019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28370125 + ... + 32642766.

It is an arithmetic number, because the mean of its divisors is an integer number (6583901175720).

Almost surely, 2130343120314011 is an apocalyptic number.

130343120314011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130343120314011 is a deficient number, since it is larger than the sum of its proper divisors (80341717309029).

130343120314011 is a wasteful number, since it uses less digits than its factorization.

130343120314011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61020104 (or 61020098 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130343120314011 its reverse (110413021343031), we get a palindrome (240756141657042).

The spelling of 130343120314011 in words is "one hundred thirty trillion, three hundred forty-three billion, one hundred twenty million, three hundred fourteen thousand, eleven".

Divisors: 1 3 9 11 27 33 99 297 7193 21579 64737 79123 194211 237369 712107 2136321 61012891 183038673 549116019 671141801 1647348057 2013425403 6040276209 18120828627 438865724963 1316597174889 3949791524667 4827522974593 11849374574001 14482568923779 43447706771337 130343120314011