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33001121242 = 21719295973409
BaseRepresentation
bin11110101111000001…
…010010010111011010
310011011220102122202201
4132233001102113122
51020041241334432
623054400320414
72245540621315
oct365701222732
9104156378681
1033001121242
1112aa52aa921
12649001310a
13315c07ca9b
141850c6397c
15cd233eee7
hex7af0525da

33001121242 has 128 divisors (see below), whose sum is σ = 58980960000. Its totient is φ = 13739507712.

The previous prime is 33001121227. The next prime is 33001121243. The reversal of 33001121242 is 24212110033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (33001121243) 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 63 ways as a sum of consecutive naturals, for example, 80687134 + ... + 80687542.

It is an arithmetic number, because the mean of its divisors is an integer number (460788750).

Almost surely, 233001121242 is an apocalyptic number.

33001121242 is a deficient number, since it is larger than the sum of its proper divisors (25979838758).

33001121242 is a wasteful number, since it uses less digits than its factorization.

33001121242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 33001121242 its reverse (24212110033), we get a palindrome (57213231275).

The spelling of 33001121242 in words is "thirty-three billion, one million, one hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 17 19 29 34 38 58 59 73 118 146 323 409 493 551 646 818 986 1003 1102 1121 1241 1387 1711 2006 2117 2242 2482 2774 3422 4234 4307 6953 7771 8614 9367 11861 13906 15542 18734 19057 23579 23722 24131 29087 29857 32509 35989 38114 40223 47158 48262 58174 59714 65018 71978 73219 80446 81833 124903 132107 146438 163666 201637 225359 249806 264214 403274 410227 450718 458489 507569 552653 567283 683791 699799 820454 865853 916978 1015138 1105306 1134566 1367582 1391161 1399598 1731706 1761563 2123351 2373157 2782322 3523126 3831103 4246702 4746314 7662206 7794313 9643811 11896583 13296181 14719501 15588626 16451207 19287622 23793166 26592362 29439002 29946571 32902414 33469697 40343669 51085327 59893142 66939394 80687338 102170654 226035077 279670519 452070154 559341038 568984849 868450559 970621213 1137969698 1736901118 1941242426 16500560621 33001121242