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13131223122000 = 243534746564621
BaseRepresentation
bin1011111100010101100111…
…1000111100000001010000
31201111022222111221210212010
42333011121320330001100
53210120221104401000
643532222311302520
72523461643625164
oct277053170740120
951438874853763
1013131223122000
114202a14138555
121580b0407aa40
1374336608b879
143357a9b1cca4
1517b88eaa1d50
hexbf159e3c050

13131223122000 has 160 divisors (see below), whose sum is σ = 43235810302464. Its totient is φ = 3427156032000.

The previous prime is 13131223121827. The next prime is 13131223122007. The reversal of 13131223122000 is 22132213131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131223122007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23000311 + ... + 23564310.

Almost surely, 213131223122000 is an apocalyptic number.

13131223122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131223122000 is an abundant number, since it is smaller than the sum of its proper divisors (30104587180464).

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

13131223122000 is a wasteful number, since it uses less digits than its factorization.

13131223122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46564694 (or 46564678 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13131223122000 its reverse (22132213131), we get a palindrome (13153355335131).

The spelling of 13131223122000 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 705 750 752 940 1000 1128 1175 1200 1410 1500 1880 2000 2256 2350 2820 3000 3525 3760 4700 5640 5875 6000 7050 9400 11280 11750 14100 17625 18800 23500 28200 35250 47000 56400 70500 94000 141000 282000 46564621 93129242 139693863 186258484 232823105 279387726 372516968 465646210 558775452 698469315 745033936 931292420 1117550904 1164115525 1396938630 1862584840 2188537187 2235101808 2328231050 2793877260 3492346575 3725169680 4377074374 4656462100 5587754520 5820577625 6565611561 6984693150 8754148748 9312924200 10942685935 11175509040 11641155250 13131223122 13969386300 17461732875 17508297496 18625848400 21885371870 23282310500 26262446244 27938772600 32828057805 34923465750 35016594992 43770743740 46564621000 52524892488 54713429675 55877545200 65656115610 69846931500 87541487480 93129242000 105049784976 109426859350 131312231220 139693863000 164140289025 175082974960 218853718700 262624462440 273567148375 279387726000 328280578050 437707437400 525248924880 547134296750 656561156100 820701445125 875414874800 1094268593500 1313122312200 1641402890250 2188537187000 2626244624400 3282805780500 4377074374000 6565611561000 13131223122000