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242430410100 = 223523532289239
BaseRepresentation
bin1110000111000111111…
…0100111110101110100
3212011202101120211212210
43201301332213311310
512432444141110400
6303212045013420
723341436325354
oct3416176476564
9764671524783
10242430410100
11938a571232a
123ab99554270
1319b26a76c08
14ba3b386b64
15648d4dc950
hex3871fa7d74

242430410100 has 72 divisors (see below), whose sum is σ = 703419353280. Its totient is φ = 64464942080.

The previous prime is 242430410083. The next prime is 242430410161. The reversal of 242430410100 is 1014034242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038720 + ... + 1250519.

It is an arithmetic number, because the mean of its divisors is an integer number (9769713240).

Almost surely, 2242430410100 is an apocalyptic number.

242430410100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242430410100 is an abundant number, since it is smaller than the sum of its proper divisors (460988943180).

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

242430410100 is a wasteful number, since it uses less digits than its factorization.

242430410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289609 (or 2289602 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 242430410100 its reverse (1014034242), we get a palindrome (243444444342).

The spelling of 242430410100 in words is "two hundred forty-two billion, four hundred thirty million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 353 706 1059 1412 1765 2118 3530 4236 5295 7060 8825 10590 17650 21180 26475 35300 52950 105900 2289239 4578478 6867717 9156956 11446195 13735434 22892390 27470868 34338585 45784780 57230975 68677170 114461950 137354340 171692925 228923900 343385850 686771700 808101367 1616202734 2424304101 3232405468 4040506835 4848608202 8081013670 9697216404 12121520505 16162027340 20202534175 24243041010 40405068350 48486082020 60607602525 80810136700 121215205050 242430410100