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131203003032240 = 243513722543177011
BaseRepresentation
bin11101110101010000010100…
…011000111010001010110000
3122012112212212212110020112120
4131311100110120322022300
5114144112222234012430
61143013454423554240
736431050503566526
oct3565202430721260
9565485785406476
10131203003032240
1138894976835947
12128700302bb980
13582950c076639
14245838b47c316
151027d57c26610
hex77541463a2b0

131203003032240 has 160 divisors (see below), whose sum is σ = 409718625186816. Its totient is φ = 34730347591680.

The previous prime is 131203003032239. The next prime is 131203003032263. The reversal of 131203003032240 is 42230300302131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131203003032240.

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, 741125335 + ... + 741302345.

Almost surely, 2131203003032240 is an apocalyptic number.

131203003032240 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 131203003032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204859312593408).

131203003032240 is an abundant number, since it is smaller than the sum of its proper divisors (278515622154576).

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

131203003032240 is a wasteful number, since it uses less digits than its factorization.

131203003032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199707 (or 199701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131203003032240 its reverse (42230300302131), we get a palindrome (173433303334371).

The spelling of 131203003032240 in words is "one hundred thirty-one trillion, two hundred three billion, three million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 22543 32880 45086 67629 90172 112715 135258 177011 180344 225430 270516 338145 354022 360688 450860 531033 541032 676290 708044 885055 901720 1062066 1082064 1352580 1416088 1770110 1803440 2124132 2655165 2705160 2832176 3088391 3540220 4248264 5310330 5410320 6176782 7080440 8496528 9265173 10620660 12353564 14160880 15441955 18530346 21241320 24250507 24707128 30883910 37060692 42482640 46325865 48501014 49414256 61767820 72751521 74121384 92651730 97002028 121252535 123535640 145503042 148242768 185303460 194004056 242505070 247071280 291006084 363757605 370606920 388008112 485010140 582012168 727515210 741213840 970020280 1164024336 1455030420 1940040560 2910060840 3990358973 5820121680 7980717946 11971076919 15961435892 19951794865 23942153838 31922871784 39903589730 47884307676 59855384595 63845743568 79807179460 95768615352 119710769190 159614358920 191537230704 239421538380 319228717840 478843076760 546679179301 957686153520 1093358358602 1640037537903 2186716717204 2733395896505 3280075075806 4373433434408 5466791793010 6560150151612 8200187689515 8746866868816 10933583586020 13120300303224 16400375379030 21867167172040 26240600606448 32800750758060 43734334344080 65601501516120 131203003032240