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130131313224 = 233111034785647
BaseRepresentation
bin111100100110001101…
…1100100001001001000
3110102220002000122111120
41321030123210021020
54113002104010344
6135440445355240
712254526624513
oct1711433441110
9412802018446
10130131313224
1150208808760
1221278868b20
13c36b15cc73
146426acbd7a
1535b9651219
hex1e4c6e4248

130131313224 has 64 divisors (see below), whose sum is σ = 358349322240. Its totient is φ = 39050871360.

The previous prime is 130131313043. The next prime is 130131313271. The reversal of 130131313224 is 422313131031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130131313194 and 130131313203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365632 + ... + 2420015.

It is an arithmetic number, because the mean of its divisors is an integer number (5599208160).

Almost surely, 2130131313224 is an apocalyptic number.

It is an amenable number.

130131313224 is an abundant number, since it is smaller than the sum of its proper divisors (228218009016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130131313224 is a wasteful number, since it uses less digits than its factorization.

130131313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785770 (or 4785766 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 130131313224 its reverse (422313131031), we get a palindrome (552444444255).

The spelling of 130131313224 in words is "one hundred thirty billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3399 4532 6798 9064 13596 27192 4785647 9571294 14356941 19142588 28713882 38285176 52642117 57427764 105284234 114855528 157926351 210568468 315852702 421136936 492921641 631705404 985843282 1263410808 1478764923 1971686564 2957529846 3943373128 5422138051 5915059692 10844276102 11830119384 16266414153 21688552204 32532828306 43377104408 65065656612 130131313224