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130311121311 = 32721915552109
BaseRepresentation
bin111100101011100100…
…1011110100110011111
3110110100121100211211100
41321113021132212133
54113334121340221
6135510351324143
712262142153400
oct1712711364637
9413317324740
10130311121311
11502a025a188
1221308b20653
13c399497697
1464429359a7
1535ca31c926
hex1e5725e99f

130311121311 has 36 divisors (see below), whose sum is σ = 230482270200. Its totient is φ = 70544361888.

The previous prime is 130311121277. The next prime is 130311121313. The reversal of 130311121311 is 113121113031.

130311121311 is a `hidden beast` number, since 1 + 30 + 311 + 12 + 1 + 311 = 666.

It is not a de Polignac number, because 130311121311 - 219 = 130310597023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130311121313) 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 35 ways as a sum of consecutive naturals, for example, 7767676 + ... + 7784433.

Almost surely, 2130311121311 is an apocalyptic number.

130311121311 is a deficient number, since it is larger than the sum of its proper divisors (100171148889).

130311121311 is a wasteful number, since it uses less digits than its factorization.

130311121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552148 (or 15552138 counting only the distinct ones).

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

Adding to 130311121311 its reverse (113121113031), we get a palindrome (243432234342).

The spelling of 130311121311 in words is "one hundred thirty billion, three hundred eleven million, one hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 8379 15552109 46656327 108864763 139968981 295490071 326594289 762053341 886470213 979782867 2068430497 2286160023 2659410639 6205291491 6858480069 14479013479 18615874473 43437040437 130311121311