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130132130122000 = 2453478871560749
BaseRepresentation
bin11101100101101010111111…
…011000111100100100010000
3122001202111202220010221110001
4131211222333120330210100
5114024041100302401000
61140433513021015344
736260510332210156
oct3545527730744420
9561674686127401
10130132130122000
11385117a9a09566
121271858b0b4554
13577c53a863226
14241c6005153d6
15100a07e42446a
hex765abf63c910

130132130122000 has 160 divisors (see below), whose sum is σ = 321716873088000. Its totient is φ = 50887876390400.

The previous prime is 130132130121991. The next prime is 130132130122039. The reversal of 130132130122000 is 221031231031.

130132130122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82597626 + ... + 84158374.

It is an arithmetic number, because the mean of its divisors is an integer number (2010730456800).

Almost surely, 2130132130122000 is an apocalyptic number.

130132130122000 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 130132130122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160858436544000).

130132130122000 is an abundant number, since it is smaller than the sum of its proper divisors (191584742966000).

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

130132130122000 is a wasteful number, since it uses less digits than its factorization.

130132130122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561706 (or 1561690 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 130132130122000 its reverse (221031231031), we get a palindrome (130353161353031).

The spelling of 130132130122000 in words is "one hundred thirty trillion, one hundred thirty-two billion, one hundred thirty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 887 940 1000 1175 1774 1880 2000 2350 3548 3760 4435 4700 5875 7096 8870 9400 11750 14192 17740 18800 22175 23500 35480 41689 44350 47000 70960 83378 88700 94000 110875 166756 177400 208445 221750 333512 354800 416890 443500 667024 833780 887000 1042225 1560749 1667560 1774000 2084450 3121498 3335120 4168900 5211125 6242996 7803745 8337800 10422250 12485992 15607490 16675600 20844500 24971984 31214980 39018725 41689000 62429960 73355203 78037450 83378000 124859920 146710406 156074900 195093625 293420812 312149800 366776015 390187250 586841624 624299600 733552030 780374500 1173683248 1384384363 1467104060 1560749000 1833880075 2768768726 2934208120 3121498000 3667760150 5537537452 5868416240 6921921815 7335520300 9169400375 11075074904 13843843630 14671040600 18338800750 22150149808 27687687260 29342081200 34609609075 36677601500 55375374520 65066065061 69219218150 73355203000 110750749040 130132130122 138438436300 146710406000 173048045375 260264260244 276876872600 325330325305 346096090750 520528520488 553753745200 650660650610 692192181500 1041057040976 1301321301220 1384384363000 1626651626525 2602642602440 2768768726000 3253303253050 5205285204880 6506606506100 8133258132625 13013213012200 16266516265250 26026426024400 32533032530500 65066065061000 130132130122000