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242661120300 = 22345229958163
BaseRepresentation
bin1110000111111110111…
…0101101100100101100
3212012100110201010210000
43201333232231210230
512433432221322200
6303251005544300
723350240330014
oct3417756554454
9765313633700
10242661120300
1193a03970315
123b042875090
1319b627c4521
14ba5dc80c44
1564a38b1300
hex387fbad92c

242661120300 has 90 divisors (see below), whose sum is σ = 786611512148. Its totient is φ = 64709629920.

The previous prime is 242661120257. The next prime is 242661120301. The reversal of 242661120300 is 3021166242.

242661120300 is a `hidden beast` number, since 2 + 4 + 26 + 611 + 20 + 3 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (242661120301) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 14970982 + ... + 14987181.

Almost surely, 2242661120300 is an apocalyptic number.

242661120300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242661120300 is an abundant number, since it is smaller than the sum of its proper divisors (543950391848).

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

242661120300 is a wasteful number, since it uses less digits than its factorization.

242661120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29958189 (or 29958173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 242661120300 its reverse (3021166242), we get a palindrome (245682286542).

The spelling of 242661120300 in words is "two hundred forty-two billion, six hundred sixty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 29958163 59916326 89874489 119832652 149790815 179748978 269623467 299581630 359497956 449372445 539246934 599163260 748954075 808870401 898744890 1078493868 1348117335 1497908150 1617740802 1797489780 2246862225 2426611203 2696234670 2995816300 3235481604 4044352005 4493724450 4853222406 5392469340 6740586675 8088704010 8987448900 9706444812 12133056015 13481173350 16177408020 20221760025 24266112030 26962346700 40443520050 48532224060 60665280075 80887040100 121330560150 242661120300