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22142001333210 = 235115910993103451
BaseRepresentation
bin1010000100011010101100…
…00111111100001111011010
32220101202101010212111102020
411002031112013330033122
510400233304320130320
6115031521152315310
74443464301652653
oct502152607741732
986352333774366
1022142001333210
11706740856a250
122597327542b36
13c47c9bc30215
1456797006052a
15285e6e60c940
hex1423561fc3da

22142001333210 has 128 divisors (see below), whose sum is σ = 58960290769920. Its totient is φ = 5276247936000.

The previous prime is 22142001333191. The next prime is 22142001333229. The reversal of 22142001333210 is 1233310024122.

It is an interprime number because it is at equal distance from previous prime (22142001333191) and next prime (22142001333229).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 213981985 + ... + 214085435.

It is an arithmetic number, because the mean of its divisors is an integer number (460627271640).

Almost surely, 222142001333210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142001333210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480145384960).

22142001333210 is an abundant number, since it is smaller than the sum of its proper divisors (36818289436710).

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

22142001333210 is a wasteful number, since it uses less digits than its factorization.

22142001333210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114524.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22142001333210 its reverse (1233310024122), we get a palindrome (23375311357332).

The spelling of 22142001333210 in words is "twenty-two trillion, one hundred forty-two billion, one million, three hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 3245 3894 6490 9735 10993 19470 21986 32979 54965 65958 103451 109930 120923 164895 206902 241846 310353 329790 362769 517255 604615 620706 648587 725538 1034510 1137961 1209230 1297174 1551765 1813845 1945761 2275922 3103530 3242935 3413883 3627690 3891522 5689805 6103609 6485870 6827766 7134457 9728805 11379610 12207218 14268914 17069415 18310827 19457610 21403371 30518045 34138830 35672285 36621654 42806742 61036090 67139699 71344570 91554135 107016855 134279398 183108270 201419097 214033710 335698495 402838194 671396990 1007095485 1137236843 2014190970 2274473686 3411710529 5686184215 6823421058 11372368430 12509605273 17058552645 25019210546 34117105290 37528815819 62548026365 67096973737 75057631638 125096052730 134193947474 187644079095 201290921211 335484868685 375288158190 402581842422 670969737370 738066711107 1006454606055 1476133422214 2012909212110 2214200133321 3690333555535 4428400266642 7380667111070 11071000666605 22142001333210