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131103300300500 = 22531173213255971
BaseRepresentation
bin11101110011110011011101…
…101001001010111011010100
3122012012100112102011200200102
4131303303131221022323110
5114140444024334104000
61142500005200233232
736420620666422403
oct3563633551127324
9565170472150612
10131103300300500
11388566631888a0
121285484600b818
13581ccb0019498
14245360dabd63a
15102546eb5b3d5
hex773cdda4aed4

131103300300500 has 96 divisors (see below), whose sum is σ = 312402334398336. Its totient is φ = 47667400800000.

The previous prime is 131103300300407. The next prime is 131103300300527. The reversal of 131103300300500 is 5003003301131.

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, 38637515 + ... + 41893485.

It is an arithmetic number, because the mean of its divisors is an integer number (3254190983316).

Almost surely, 2131103300300500 is an apocalyptic number.

131103300300500 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 131103300300500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156201167199168).

131103300300500 is an abundant number, since it is smaller than the sum of its proper divisors (181299034097836).

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

131103300300500 is a wasteful number, since it uses less digits than its factorization.

131103300300500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263322 (or 3263310 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

Adding to 131103300300500 its reverse (5003003301131), we get a palindrome (136106303601631).

The spelling of 131103300300500 in words is "one hundred thirty-one trillion, one hundred three billion, three hundred million, three hundred thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 5500 7321 14642 29284 36605 73210 80531 146420 161062 183025 322124 366050 402655 732100 805310 915125 1610620 1830250 2013275 3255971 3660500 4026550 6511942 8053100 10066375 13023884 16279855 20132750 32559710 35815681 40265500 65119420 71631362 81399275 143262724 162798550 179078405 325597100 358156810 406996375 716313620 813992750 895392025 1627985500 1790784050 3581568100 4476960125 8953920250 17907840500 23836963691 47673927382 95347854764 119184818455 238369636910 262206600601 476739273820 524413201202 595924092275 1048826402404 1191848184550 1311033003005 2383696369100 2622066006010 2979620461375 5244132012020 5959240922750 6555165015025 11918481845500 13110330030050 26220660060100 32775825075125 65551650150250 131103300300500