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131221340320200 = 233521316823248759
BaseRepresentation
bin11101110101100001011001…
…011000000111000111001000
3122012121122012211021222122220
4131311201121120013013020
5114144412301110221300
61143030130155414040
736432300066142464
oct3565413130070710
9565548184258586
10131221340320200
11388a172674a789
12128736a9454320
13582b17212bca0
14245920a9c74a4
15102857ca06da0
hex7758596071c8

131221340320200 has 96 divisors (see below), whose sum is σ = 438077397710400. Its totient is φ = 32300637615360.

The previous prime is 131221340320157. The next prime is 131221340320211. The reversal of 131221340320200 is 2023043122131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8411616580 + ... + 8411632179.

It is an arithmetic number, because the mean of its divisors is an integer number (4563306226150).

Almost surely, 2131221340320200 is an apocalyptic number.

131221340320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221340320200 is an abundant number, since it is smaller than the sum of its proper divisors (306856057390200).

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

131221340320200 is a wasteful number, since it uses less digits than its factorization.

131221340320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16823248791 (or 16823248782 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131221340320200 its reverse (2023043122131), we get a palindrome (133244383442331).

The spelling of 131221340320200 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred forty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 16823248759 33646497518 50469746277 67292995036 84116243795 100939492554 134585990072 168232487590 201878985108 218702233867 252348731385 336464975180 403757970216 420581218975 437404467734 504697462770 656106701601 672929950360 841162437950 874808935468 1009394925540 1093511169335 1261743656925 1312213403202 1682324875900 1749617870936 2018789851080 2187022338670 2523487313850 2624426806404 3280533508005 3364649751800 4374044677340 5046974627700 5248853612808 5467555846675 6561067016010 8748089354680 10093949255400 10935111693350 13122134032020 16402667540025 21870223386700 26244268064040 32805335080050 43740446773400 65610670160100 131221340320200