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130112130001120 = 2559719143892741
BaseRepresentation
bin11101100101011000010111…
…010010100010100011100000
3122001200121011001101112101021
4131211120113102202203200
5114023224120240013440
61140420404245015224
736256201606040641
oct3545302722424340
9561617131345337
10130112130001120
1138504276407743
12127147290b4514
13577a6a1145587
14241b6641db6c8
1510097ad68284a
hex7656174a28e0

130112130001120 has 96 divisors (see below), whose sum is σ = 312184845052416. Its totient is φ = 51238628966400.

The previous prime is 130112130001057. The next prime is 130112130001121. The reversal of 130112130001120 is 21100031211031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130112130001094 and 130112130001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112130001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18982051 + ... + 24910690.

It is an arithmetic number, because the mean of its divisors is an integer number (3251925469296).

Almost surely, 2130112130001120 is an apocalyptic number.

130112130001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130112130001120 is an abundant number, since it is smaller than the sum of its proper divisors (182072715051296).

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

130112130001120 is a wasteful number, since it uses less digits than its factorization.

130112130001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43893044 (or 43893036 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 130112130001120 its reverse (21100031211031), we get a palindrome (151212161212151).

The spelling of 130112130001120 in words is "one hundred thirty trillion, one hundred twelve billion, one hundred thirty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 191 194 382 388 485 764 776 955 970 1528 1552 1910 1940 3056 3104 3820 3880 6112 7640 7760 15280 15520 18527 30560 37054 74108 92635 148216 185270 296432 370540 592864 741080 1482160 2964320 43892741 87785482 175570964 219463705 351141928 438927410 702283856 877854820 1404567712 1755709640 3511419280 4257595877 7022838560 8383513531 8515191754 16767027062 17030383508 21287979385 33534054124 34060767016 41917567655 42575958770 67068108248 68121534032 83835135310 85151917540 134136216496 136243068064 167670270620 170303835080 268272432992 335340541240 340607670160 670681082480 681215340320 813200812507 1341362164960 1626401625014 3252803250028 4066004062535 6505606500056 8132008125070 13011213000112 16264016250140 26022426000224 32528032500280 65056065000560 130112130001120