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242021303120242 = 219235367186141903
BaseRepresentation
bin110111000001110111111001…
…110011001111000101110010
31011201221000021201222120000101
4313001313321303033011302
5223210234112044321432
62214423015102343014
7101656314336410602
oct6701677163170562
91151830251876011
10242021303120242
117012a7271467a8
122318942488aa6a
13a5076847538a9
1443a9c71d68c02
151cea7e210e4e7
hexdc1df9ccf172

242021303120242 has 128 divisors (see below), whose sum is σ = 412572543344640. Its totient is φ = 105922972995840.

The previous prime is 242021303120231. The next prime is 242021303120279.

242021303120242 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2420213031202424 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 242021303120242.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5775730263 + ... + 5775772165.

It is an arithmetic number, because the mean of its divisors is an integer number (3223222994880).

Almost surely, 2242021303120242 is an apocalyptic number.

242021303120242 is a deficient number, since it is larger than the sum of its proper divisors (170551240224398).

242021303120242 is a wasteful number, since it uses less digits than its factorization.

242021303120242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43928.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 24202130 and 3120242, that added together give a palindrome (27322372).

The spelling of 242021303120242 in words is "two hundred forty-two trillion, twenty-one billion, three hundred three million, one hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 19 23 38 46 53 67 106 134 437 874 1007 1219 1273 1541 1861 2014 2438 2546 3082 3551 3722 7102 23161 29279 35359 41903 42803 46322 58558 67469 70718 81673 83806 85606 98633 124687 134938 163346 197266 249374 796157 813257 963769 1551787 1592314 1626514 1874027 1927538 2220859 2268559 2369053 2807501 2867801 3103574 3748054 4441718 4537118 4738106 5615002 5735602 6608411 13216822 18311611 36623222 42196321 43102621 51079757 53342519 54488219 64572523 77981483 84392642 86205242 102159514 106685038 108976438 125559809 129145046 148797553 151993453 155962966 251119618 297595106 303986906 970515383 1226877937 1481648177 1793574109 1941030766 2453755874 2827153507 2887875607 2963296354 3422343719 3587148218 4133018599 5224759361 5654307014 5775751214 6844687438 8266037198 10449518722 34077908071 65024530661 68155816142 78527353381 95059427777 99270427859 120169465303 130049061322 157054706762 190118855554 198540855718 240338930606 276912246133 553824492266 1806129127763 2283219840757 3612258255526 4566439681514 5261332676527 6368981661059 10522665353054 12737963322118 121010651560121 242021303120242