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130124545425 = 325271731715331
BaseRepresentation
bin111100100110000000…
…1101111110110010001
3110102212121021210211100
41321030001233312101
54112443340423200
6135440044335013
712254415246360
oct1711401576621
9412777253740
10130124545425
1150204a05a36
1221276544469
13c369930654
146425c497d7
1535b8c65d00
hex1e4c06fd91

130124545425 has 144 divisors (see below), whose sum is σ = 282939426432. Its totient is φ = 55806105600.

The previous prime is 130124545373. The next prime is 130124545469. The reversal of 130124545425 is 524545421031.

130124545425 is a `hidden beast` number, since 130 + 1 + 2 + 454 + 54 + 25 = 666.

It is not a de Polignac number, because 130124545425 - 26 = 130124545361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130124545425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8480010 + ... + 8495340.

It is an arithmetic number, because the mean of its divisors is an integer number (1964857128).

Almost surely, 2130124545425 is an apocalyptic number.

130124545425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130124545425 is an abundant number, since it is smaller than the sum of its proper divisors (152814881007).

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

130124545425 is a wasteful number, since it uses less digits than its factorization.

130124545425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15688 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 130124545425 its reverse (524545421031), we get a palindrome (654669966456).

The spelling of 130124545425 in words is "one hundred thirty billion, one hundred twenty-four million, five hundred forty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 317 357 425 525 595 765 951 1071 1275 1575 1585 1785 2219 2853 2975 3825 4755 5355 5389 6657 7925 8925 11095 14265 15331 16167 19971 23775 26775 26945 33285 37723 45993 48501 55475 71325 76655 80835 99855 107317 113169 134725 137979 166425 188615 229965 242505 260627 321951 339507 383275 404175 499275 536585 565845 689895 781881 943075 965853 1149825 1212525 1303135 1609755 1697535 1824389 2345643 2682925 2829225 3449475 3909405 4829265 4859927 5473167 6515675 8048775 8487675 9121945 11728215 14579781 16419501 19547025 24146325 24299635 27365835 34019489 43739343 45609725 58641075 72898905 82097505 82618759 102058467 121498175 136829175 170097445 218696715 247856277 306175401 364494525 410487525 413093795 510292335 578331313 743568831 850487225 1093483575 1239281385 1530877005 1734993939 2065468975 2551461675 2891656565 3717844155 5204981817 6196406925 7654385025 8674969695 14458282825 18589220775 26024909085 43374848475 130124545425