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130403314431 = 32132414624723
BaseRepresentation
bin111100101110010100…
…1001010101011111111
3110110121000211202000100
41321130221022223333
54114031222030211
6135523443332143
712264341612115
oct1713451125377
9413530752010
10130403314431
11503382a9245
1221333981053
13c3b2606920
146450c93ab5
1535d347e156
hex1e5ca4aaff

130403314431 has 24 divisors (see below), whose sum is σ = 203691343856. Its totient is φ = 79915196160.

The previous prime is 130403314427. The next prime is 130403314453. The reversal of 130403314431 is 134413304031.

130403314431 is a `hidden beast` number, since 1 + 304 + 0 + 3 + 314 + 43 + 1 = 666.

It is not a de Polignac number, because 130403314431 - 22 = 130403314427 is a prime.

It is a super-3 number, since 3×1304033144313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 130403314395 and 130403314404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130403314031) 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 23 ways as a sum of consecutive naturals, for example, 2284165 + ... + 2340558.

Almost surely, 2130403314431 is an apocalyptic number.

130403314431 is a deficient number, since it is larger than the sum of its proper divisors (73288029425).

130403314431 is a wasteful number, since it uses less digits than its factorization.

130403314431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624983 (or 4624980 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130403314431 its reverse (134413304031), we get a palindrome (264816618462).

The spelling of 130403314431 in words is "one hundred thirty billion, four hundred three million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 241 723 2169 3133 9399 28197 4624723 13874169 41622507 60121399 180364197 541092591 1114558243 3343674729 10031024187 14489257159 43467771477 130403314431