Search a number
-
+
130133231031321 = 32722699911106939
BaseRepresentation
bin11101100101101100000001…
…000000100101010000011001
3122001202121121121200221010100
4131211230001000211100121
5114024100324121000241
61140434214145210013
736260546530611300
oct3545540100452031
9561677547627110
10130133231031321
1138512214394a81
1212718837930909
13577c684971a6b
14241c6a680d437
15100a0e5dd99b6
hex765b01025419

130133231031321 has 72 divisors (see below), whose sum is σ = 219693761913600. Its totient is φ = 74010583120320.

The previous prime is 130133231031299. The next prime is 130133231031337. The reversal of 130133231031321 is 123130132331031.

130133231031321 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 32 + 310 + 313 + 2 + 1 = 666.

It is not a de Polignac number, because 130133231031321 - 29 = 130133231030809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130133231011321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117007870 + ... + 118114808.

It is an arithmetic number, because the mean of its divisors is an integer number (3051302248800).

Almost surely, 2130133231031321 is an apocalyptic number.

It is an amenable number.

130133231031321 is a deficient number, since it is larger than the sum of its proper divisors (89560530882279).

130133231031321 is a wasteful number, since it uses less digits than its factorization.

130133231031321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108219 (or 1108209 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 130133231031321 its reverse (123130132331031), we get a palindrome (253263363362352).

The spelling of 130133231031321 in words is "one hundred thirty trillion, one hundred thirty-three billion, two hundred thirty-one million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 269 441 807 991 1883 2421 2973 5649 6937 8919 13181 16947 20811 39543 48559 62433 118629 145677 266579 437031 799737 1106939 1866053 2399211 3320817 5598159 7748573 9962451 13062371 16794477 23245719 39187113 54240011 69737157 117561339 162720033 297766591 488160099 893299773 1096976549 2084366137 2679899319 3290929647 6253098411 7678835843 9872788941 14590562959 18759295233 23036507529 43771688877 53751850901 69109522587 131315066631 161255552703 295086691681 483766658109 885260075043 2065606841767 2655780225129 6196820525301 14459247892369 18590461575903 43377743677107 130133231031321