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242310000204 = 22345973317293
BaseRepresentation
bin1110000110101011001…
…1010010111001001100
3212011110000000101120000
43201222303102321030
512432222330001304
6303152104124300
723335445006166
oct3415263227114
9764400011500
10242310000204
1193843750618
123ab65166690
1319b07b3855c
14ba293a1936
156482b55939
hex386acd2e4c

242310000204 has 120 divisors (see below), whose sum is σ = 645098712720. Its totient is φ = 79288108416.

The previous prime is 242310000199. The next prime is 242310000209. The reversal of 242310000204 is 402000013242.

242310000204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242310000199) and next prime (242310000209).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242310000209) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14003382 + ... + 14020674.

It is an arithmetic number, because the mean of its divisors is an integer number (5375822606).

Almost surely, 2242310000204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242310000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322549356360).

242310000204 is an abundant number, since it is smaller than the sum of its proper divisors (402788712516).

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

242310000204 is a wasteful number, since it uses less digits than its factorization.

242310000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18101 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 242310000204 its reverse (402000013242), we get a palindrome (644310013446).

The spelling of 242310000204 in words is "two hundred forty-two billion, three hundred ten million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 733 1062 1466 1593 2124 2199 2932 3186 4398 4779 6372 6597 8796 9558 13194 17293 19116 19791 26388 34586 39582 43247 51879 59373 69172 79164 86494 103758 118746 129741 155637 172988 207516 237492 259482 311274 389223 466911 518964 622548 778446 933822 1020287 1167669 1400733 1556892 1867644 2040574 2335338 2801466 3060861 3503007 4081148 4670676 5602932 6121722 7006014 9182583 12243444 12675769 14012028 18365166 25351538 27547749 36730332 38027307 50703076 55095498 76054614 82643247 110190996 114081921 152109228 165286494 228163842 330572988 342245763 456327684 684491526 747870371 1026737289 1368983052 1495740742 2053474578 2243611113 2991481484 4106949156 4487222226 6730833339 8974444452 13461666678 20192500017 26923333356 40385000034 60577500051 80770000068 121155000102 242310000204