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201141143320 = 235132171750271
BaseRepresentation
bin1011101101010011110…
…0100100011100011000
3201020011212112202211211
42323110330210130120
511243414113041240
6232223012432504
720350315336315
oct2732474443430
9636155482754
10201141143320
1178337a28057
1232b95918734
1315c76876c00
149a4188dd0c
155373735bea
hex2ed4f24718

201141143320 has 96 divisors (see below), whose sum is σ = 518885637120. Its totient is φ = 69898782720.

The previous prime is 201141143317. The next prime is 201141143321. The reversal of 201141143320 is 23341141102.

201141143320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201141143291 and 201141143300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201141143321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760216 + ... + 990055.

It is an arithmetic number, because the mean of its divisors is an integer number (5405058720).

Almost surely, 2201141143320 is an apocalyptic number.

201141143320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201141143320 is an abundant number, since it is smaller than the sum of its proper divisors (317744493800).

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

201141143320 is a wasteful number, since it uses less digits than its factorization.

201141143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750325 (or 1750308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 201141143320 its reverse (23341141102), we get a palindrome (224482284422).

The spelling of 201141143320 in words is "two hundred one billion, one hundred forty-one million, one hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 442 520 676 680 845 884 1105 1352 1690 1768 2210 2873 3380 4420 5746 6760 8840 11492 14365 22984 28730 57460 114920 1750271 3500542 7001084 8751355 14002168 17502710 22753523 29754607 35005420 45507046 59509214 70010840 91014092 113767615 119018428 148773035 182028184 227535230 238036856 295795799 297546070 386809891 455070460 591591598 595092140 773619782 910140920 1183183196 1190184280 1478978995 1547239564 1934049455 2366366392 2957957990 3094479128 3868098910 5028528583 5915915980 7736197820 10057057166 11831831960 15472395640 20114114332 25142642915 40228228664 50285285830 100570571660 201141143320