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131142242000 = 2453711851573
BaseRepresentation
bin111101000100010101…
…1111100111011010000
3110112111112021011002002
41322020223330323100
54122034403221000
6140125041213132
712321553443650
oct1721053747320
9415445234062
10131142242000
1150687416490
12214bb3311a8
13c49c725683
1464c1082360
1536282908d5
hex1e88afced0

131142242000 has 160 divisors (see below), whose sum is σ = 395348338944. Its totient is φ = 40875456000.

The previous prime is 131142241963. The next prime is 131142242039. The reversal of 131142242000 is 242241131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 271787 + ... + 579786.

Almost surely, 2131142242000 is an apocalyptic number.

131142242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142242000 is an abundant number, since it is smaller than the sum of its proper divisors (264206096944).

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

131142242000 is a wasteful number, since it uses less digits than its factorization.

131142242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851614 (or 851598 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 131142242000 its reverse (242241131), we get a palindrome (131384483131).

The spelling of 131142242000 in words is "one hundred thirty-one billion, one hundred forty-two million, two hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 851573 1703146 3406292 4257865 5961011 6812584 8515730 9367303 11922022 13625168 17031460 18734606 21289325 23844044 29805055 34062920 37469212 42578650 46836515 47688088 59610110 65571121 68125840 74938424 85157300 93673030 95376176 106446625 119220220 131142242 149025275 149876848 170314600 187346060 212893250 234182575 238440440 262284484 298050550 327855605 340629200 374692120 425786500 468365150 476880880 524568968 596101100 655711210 745126375 749384240 851573000 936730300 1049137936 1170912875 1192202200 1311422420 1490252750 1639278025 1703146000 1873460600 2341825750 2384404400 2622844840 2980505500 3278556050 3746921200 4683651500 5245689680 5961011000 6557112100 8196390125 9367303000 11922022000 13114224200 16392780250 18734606000 26228448400 32785560500 65571121000 131142242000