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130426556220 = 223253720539539
BaseRepresentation
bin111100101111000000…
…1110100111100111100
3110110122122120112202100
41321132001310330330
54114103144244340
6135530033425100
712265043302332
oct1713601647474
9413578515670
10130426556220
115034a433134
122133b70b190
13c3b738376c
146453dc3b52
1535d5520830
hex1e5e074f3c

130426556220 has 144 divisors (see below), whose sum is σ = 406560379680. Its totient is φ = 33820374528.

The previous prime is 130426556219. The next prime is 130426556231. The reversal of 130426556220 is 22655624031.

130426556220 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 26 + 5 + 5 + 622 + 0 = 666.

It is a super-2 number, since 2×1304265562202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13668211 + ... + 13677749.

It is an arithmetic number, because the mean of its divisors is an integer number (2823335970).

Almost surely, 2130426556220 is an apocalyptic number.

130426556220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130426556220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280189840).

130426556220 is an abundant number, since it is smaller than the sum of its proper divisors (276133823460).

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

130426556220 is a wasteful number, since it uses less digits than its factorization.

130426556220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 130426556220 in words is "one hundred thirty billion, four hundred twenty-six million, five hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2053 2220 3330 4106 6159 6660 8212 9539 10265 12318 18477 19078 20530 24636 28617 30795 36954 38156 41060 47695 57234 61590 73908 75961 85851 92385 95390 114468 123180 143085 151922 171702 184770 190780 227883 286170 303844 343404 352943 369540 379805 429255 455766 572340 683649 705886 759610 858510 911532 1058829 1139415 1367298 1411772 1519220 1717020 1764715 2117658 2278830 2734596 3176487 3418245 3529430 4235316 4557660 5294145 6352974 6836490 7058860 10588290 12705948 13672980 15882435 19583567 21176580 31764870 39167134 58750701 63529740 78334268 97917835 117501402 176252103 195835670 235002804 293753505 352504206 391671340 587507010 705008412 724591979 881260515 1175014020 1449183958 1762521030 2173775937 2898367916 3525042060 3622959895 4347551874 6521327811 7245919790 8695103748 10868879685 13042655622 14491839580 21737759370 26085311244 32606639055 43475518740 65213278110 130426556220