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131202000112300 = 225213431653358597
BaseRepresentation
bin11101110101001111011000…
…100111000100101010101100
3122012112210021222021122000121
4131311033120213010222230
5114144103144012043200
61143013211115534324
736431013605114635
oct3565173047045254
9565483258248017
10131202000112300
11388945016a8297
121286b9b045a3a4
1358293ac3563a0
1424582d41b088c
151027ce9b69e1a
hex7753d89c4aac

131202000112300 has 144 divisors (see below), whose sum is σ = 307791858310272. Its totient is φ = 48257267788800.

The previous prime is 131202000112273. The next prime is 131202000112321. The reversal of 131202000112300 is 3211000202131.

It is a super-2 number, since 2×1312020001123002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365696602 + ... + 366055198.

It is an arithmetic number, because the mean of its divisors is an integer number (2137443460488).

Almost surely, 2131202000112300 is an apocalyptic number.

131202000112300 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 131202000112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153895929155136).

131202000112300 is an abundant number, since it is smaller than the sum of its proper divisors (176589858197972).

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

131202000112300 is a wasteful number, since it uses less digits than its factorization.

131202000112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359708 (or 359701 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131202000112300 its reverse (3211000202131), we get a palindrome (134413000314431).

The spelling of 131202000112300 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 431 650 653 862 1300 1306 1724 2155 2612 3265 4310 5603 6530 8489 8620 10775 11206 13060 16325 16978 21550 22412 28015 32650 33956 42445 43100 56030 65300 84890 112060 140075 169780 212225 280150 281443 358597 424450 560300 562886 717194 848900 1125772 1407215 1434388 1792985 2814430 3585970 3658759 4661761 5628860 7036075 7171940 7317518 8964925 9323522 14072150 14635036 17929850 18293795 18647044 23308805 28144300 35859700 36587590 46617610 73175180 91468975 93235220 116544025 154555307 182937950 233088050 234163841 309110614 365875900 466176100 468327682 618221228 772776535 936655364 1170819205 1545553070 2009218991 2341638410 3044129933 3091106140 3863882675 4018437982 4683276820 5854096025 6088259866 7727765350 8036875964 10046094955 11708192050 12176519732 15220649665 15455530700 20092189910 23416384100 30441299330 40184379820 50230474775 60882598660 76103248325 100460949550 100924615471 152206496650 200921899100 201849230942 304412993300 403698461884 504623077355 1009246154710 1312020001123 2018492309420 2523115386775 2624040002246 5046230773550 5248080004492 6560100005615 10092461547100 13120200011230 26240400022460 32800500028075 65601000056150 131202000112300