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242430301100 = 225213375040131
BaseRepresentation
bin1110000111000111111…
…0001101001110101100
3212011202101101022100202
43201301332031032230
512432444124113400
6303212042413032
723341435362521
oct3416176151654
9764671338322
10242430301100
11938a5648449
123ab99501178
1319b26a39410
14ba3b359148
15648d4ba4d5
hex3871f8d3ac

242430301100 has 72 divisors (see below), whose sum is σ = 581852998608. Its totient is φ = 87093446400.

The previous prime is 242430301073. The next prime is 242430301123. The reversal of 242430301100 is 1103034242.

242430301100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2424303011002 (a number of 24 digits) contains 22 as substring.

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, 2471966 + ... + 2568165.

Almost surely, 2242430301100 is an apocalyptic number.

242430301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242430301100 is an abundant number, since it is smaller than the sum of its proper divisors (339422697508).

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

242430301100 is a wasteful number, since it uses less digits than its factorization.

242430301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040195 (or 5040188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 242430301100 its reverse (1103034242), we get a palindrome (243533335342).

The spelling of 242430301100 in words is "two hundred forty-two billion, four hundred thirty million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 185 260 325 370 481 650 740 925 962 1300 1850 1924 2405 3700 4810 9620 12025 24050 48100 5040131 10080262 20160524 25200655 50401310 65521703 100802620 126003275 131043406 186484847 252006550 262086812 327608515 372969694 504013100 655217030 745939388 932424235 1310434060 1638042575 1864848470 2424303011 3276085150 3729696940 4662121175 4848606022 6552170300 9324242350 9697212044 12121515055 18648484700 24243030110 48486060220 60607575275 121215150550 242430301100