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131104302525210 = 235710345131343059
BaseRepresentation
bin11101110011110100011001…
…011000010110101100011010
3122012012110010021000222112010
4131303310121120112230122
5114141003102421301320
61142500252441330350
736420654556250340
oct3563643130265432
9565173107028463
10131104302525210
1138857027991083
1212854a857969b6
13582010c855161
1424536a6c49990
1510254ccb2bae0
hex773d19616b1a

131104302525210 has 128 divisors (see below), whose sum is σ = 363172363407360. Its totient is φ = 29669161199616.

The previous prime is 131104302525179. The next prime is 131104302525223. The reversal of 131104302525210 is 12525203401131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96944661 + ... + 98287719.

It is an arithmetic number, because the mean of its divisors is an integer number (2837284089120).

Almost surely, 2131104302525210 is an apocalyptic number.

131104302525210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131104302525210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181586181703680).

131104302525210 is an abundant number, since it is smaller than the sum of its proper divisors (232068060882150).

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

131104302525210 is a wasteful number, since it uses less digits than its factorization.

131104302525210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347692.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 131104302525210 its reverse (12525203401131), we get a palindrome (143629505926341).

The spelling of 131104302525210 in words is "one hundred thirty-one trillion, one hundred four billion, three hundred two million, five hundred twenty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2163 3090 3605 4326 4513 7210 9026 10815 13539 21630 22565 27078 31591 45130 63182 67695 94773 135390 157955 189546 315910 464839 473865 929678 947730 1343059 1394517 2324195 2686118 2789034 3253873 4029177 4648390 6507746 6715295 6972585 8058354 9401413 9761619 13430590 13945170 16269365 18802826 19523238 20145885 28204239 32538730 40291770 47007065 48808095 56408478 94014130 97616190 138335077 141021195 276670154 282042390 415005231 691675385 830010462 968345539 1383350770 1936691078 2075026155 2905036617 4150052310 4841727695 5810073234 6061225267 9683455390 12122450534 14525183085 18183675801 29050366170 30306126335 36367351602 42428576869 60612252670 84857153738 90918379005 127285730607 181836758010 212142884345 254571461214 424285768690 624306202501 636428653035 1248612405002 1272857306070 1872918607503 3121531012505 3745837215006 4370143417507 6243062025010 8740286835014 9364593037515 13110430252521 18729186075030 21850717087535 26220860505042 43701434175070 65552151262605 131104302525210