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242321021220 = 223553671137337
BaseRepresentation
bin1110000110101101110…
…1010101100100100100
3212011110202202022112210
43201223131111210210
512432233140134340
6303153140243420
723335640460345
oct3415335254444
9764422668483
10242321021220
11938499988a3
123ab689a0570
1319b0a1c6a75
14ba2aa300cc
156483ad1180
hex386b755924

242321021220 has 96 divisors (see below), whose sum is σ = 701619262848. Its totient is φ = 62453394432.

The previous prime is 242321021219. The next prime is 242321021237. The reversal of 242321021220 is 22120123242.

242321021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 355609 + ... + 781728.

It is an arithmetic number, because the mean of its divisors is an integer number (7308533988).

Almost surely, 2242321021220 is an apocalyptic number.

242321021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242321021220 is an abundant number, since it is smaller than the sum of its proper divisors (459298241628).

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

242321021220 is a wasteful number, since it uses less digits than its factorization.

242321021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137469 (or 1137467 counting only the distinct ones).

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

Adding to 242321021220 its reverse (22120123242), we get a palindrome (264441144462).

The spelling of 242321021220 in words is "two hundred forty-two billion, three hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 67 106 134 159 201 212 265 268 318 335 402 530 636 670 795 804 1005 1060 1340 1590 2010 3180 3551 4020 7102 10653 14204 17755 21306 35510 42612 53265 71020 106530 213060 1137337 2274674 3412011 4549348 5686685 6824022 11373370 13648044 17060055 22746740 34120110 60278861 68240220 76201579 120557722 152403158 180836583 228604737 241115444 301394305 304806316 361673166 381007895 457209474 602788610 723346332 762015790 904182915 914418948 1143023685 1205577220 1524031580 1808365830 2286047370 3616731660 4038683687 4572094740 8077367374 12116051061 16154734748 20193418435 24232102122 40386836870 48464204244 60580255305 80773673740 121160510610 242321021220