Search a number
-
+
131200303212120 = 23352609551975931
BaseRepresentation
bin11101110101001101110011…
…011101111010011001011000
3122012112121220201021011120210
4131311031303131322121120
5114144041210110241440
61143012330501251120
736430623551523042
oct3565156335723130
9565477821234523
10131200303212120
113889381086204a
121286b5b8103aa0
13582919b923a3c
1424581b2a94a92
151027c4abc9a80
hex77537377a658

131200303212120 has 128 divisors (see below), whose sum is σ = 393828303744000. Its totient is φ = 34966540093440.

The previous prime is 131200303212107. The next prime is 131200303212133. The reversal of 131200303212120 is 21212303002131.

It is an interprime number because it is at equal distance from previous prime (131200303212107) and next prime (131200303212133).

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, 1727850555 + ... + 1727926485.

It is an arithmetic number, because the mean of its divisors is an integer number (3076783623000).

Almost surely, 2131200303212120 is an apocalyptic number.

131200303212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131200303212120 is an abundant number, since it is smaller than the sum of its proper divisors (262628000531880).

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

131200303212120 is a wasteful number, since it uses less digits than its factorization.

131200303212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84073 (or 84069 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131200303212120 its reverse (21212303002131), we get a palindrome (152412606214251).

The spelling of 131200303212120 in words is "one hundred thirty-one trillion, two hundred billion, three hundred three million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2609 5218 5519 7827 10436 11038 13045 15654 16557 20872 22076 26090 27595 31308 33114 39135 44152 52180 55190 62616 66228 75931 78270 82785 104360 110380 132456 151862 156540 165570 220760 227793 303724 313080 331140 379655 455586 607448 662280 759310 911172 1138965 1518620 1822344 2277930 3037240 4555860 9111720 14399071 28798142 43197213 57596284 71995355 86394426 115192568 143990710 172788852 198103979 215986065 287981420 345577704 396207958 419063189 431972130 575962840 594311937 792415916 838126378 863944260 990519895 1188623874 1257189567 1584831832 1676252756 1727888520 1981039790 2095315945 2377247748 2514379134 2971559685 3352505512 3962079580 4190631890 4754495496 5028758268 5943119370 6285947835 7924159160 8381263780 10057516536 11886238740 12571895670 16762527560 23772477480 25143791340 50287582680 1093335860101 2186671720202 3280007580303 4373343440404 5466679300505 6560015160606 8746686880808 10933358601010 13120030321212 16400037901515 21866717202020 26240060642424 32800075803030 43733434404040 65600151606060 131200303212120