Search a number
-
+
242043120200 = 235271710169879
BaseRepresentation
bin1110000101101011100…
…1001110101001001000
3212010202101211111000102
43201122321032221020
512431201014321300
6303105412024532
723326024401320
oct3413271165110
9763671744012
10242043120200
1193717038732
123aaab902148
1319a947658ab
14ba01b70280
1564694da0d5
hex385ae4ea48

242043120200 has 96 divisors (see below), whose sum is σ = 680975164800. Its totient is φ = 78104663040.

The previous prime is 242043120199. The next prime is 242043120211. The reversal of 242043120200 is 2021340242.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5061140 + ... + 5108739.

It is an arithmetic number, because the mean of its divisors is an integer number (7093491300).

Almost surely, 2242043120200 is an apocalyptic number.

242043120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242043120200 is an abundant number, since it is smaller than the sum of its proper divisors (438932044600).

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

242043120200 is a wasteful number, since it uses less digits than its factorization.

242043120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169919 (or 10169910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242043120200 its reverse (2021340242), we get a palindrome (244064460442).

The spelling of 242043120200 in words is "two hundred forty-two billion, forty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 10169879 20339758 40679516 50849395 71189153 81359032 101698790 142378306 172887943 203397580 254246975 284756612 345775886 355945765 406795160 508493950 569513224 691551772 711891530 864439715 1016987900 1210215601 1383103544 1423783060 1728879430 1779728825 2033975800 2420431202 2847566120 3457758860 3559457650 4322198575 4840862404 6051078005 6915517720 7118915300 8644397150 9681724808 12102156010 14237830600 17288794300 24204312020 30255390025 34577588600 48408624040 60510780050 121021560100 242043120200