Search a number
-
+
131301220020000 = 253542188353667
BaseRepresentation
bin11101110110101011110010…
…100100111110111100100000
3122012220021101210001011210220
4131312223302210332330200
5114202214344311120000
61143130540414523040
736441125430322602
oct3566536244767440
9565807353034726
10131301220020000
113892259775a508
1212887080b06480
135835862363344
14245d0277a9172
15102a6a56611a0
hex776af293ef20

131301220020000 has 120 divisors (see below), whose sum is σ = 430694262106416. Its totient is φ = 35013658656000.

The previous prime is 131301220019941. The next prime is 131301220020001. The reversal of 131301220020000 is 20022103131.

131301220020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131301220020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1094116834 + ... + 1094236833.

Almost surely, 2131301220020000 is an apocalyptic number.

131301220020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301220020000 is an abundant number, since it is smaller than the sum of its proper divisors (299393042086416).

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

131301220020000 is an equidigital number, since it uses as much as digits as its factorization.

131301220020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188353700 (or 2188353677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131301220020000 its reverse (20022103131), we get a palindrome (131321242123131).

The spelling of 131301220020000 in words is "one hundred thirty-one trillion, three hundred one billion, two hundred twenty million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 2188353667 4376707334 6565061001 8753414668 10941768335 13130122002 17506829336 21883536670 26260244004 32825305005 35013658672 43767073340 52520488008 54708841675 65650610010 70027317344 87534146680 105040976016 109417683350 131301220020 164126525025 175068293360 210081952032 218835366700 262602440040 273544208375 328253050050 350136586720 437670733400 525204880080 547088416750 656506100100 820632625125 875341466800 1050409760160 1094176833500 1313012200200 1367721041875 1641265250250 1750682933600 2188353667000 2626024400400 2735442083750 3282530500500 4103163125625 4376707334000 5252048800800 5470884167500 6565061001000 8206326251250 8753414668000 10941768335000 13130122002000 16412652502500 21883536670000 26260244004000 32825305005000 43767073340000 65650610010000 131301220020000