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200012112241024 = 27234712473115891
BaseRepresentation
bin101101011110100011110010…
…111001101010000110000000
3222020011222012222221122122211
4231132203302321222012000
5202203444301213203044
61545220143524511504
760062253411545536
oct5536436271520600
9866158188848584
10200012112241024
115880372a0672a6
121a52382b84b594
13877b0a4761ac5
1437568d04dc156
15181cb925d1634
hexb5e8f2e6a180

200012112241024 has 128 divisors (see below), whose sum is σ = 424670268718080. Its totient is φ = 93614377021440.

The previous prime is 200012112240971. The next prime is 200012112241079. The reversal of 200012112241024 is 420142211210002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 200012112240986 and 200012112241004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1725806119 + ... + 1725922009.

It is an arithmetic number, because the mean of its divisors is an integer number (3317736474360).

Almost surely, 2200012112241024 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 200012112241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212335134359040).

200012112241024 is an abundant number, since it is smaller than the sum of its proper divisors (224658156477056).

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

200012112241024 is a wasteful number, since it uses less digits than its factorization.

200012112241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128448 (or 128436 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 200012112241024 its reverse (420142211210002), we get a palindrome (620154323451026).

The spelling of 200012112241024 in words is "two hundred trillion, twelve billion, one hundred twelve million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 368 376 736 752 1081 1472 1504 2162 2944 3008 4324 6016 8648 12473 17296 24946 34592 49892 69184 99784 115891 138368 199568 231782 286879 399136 463564 573758 586231 798272 927128 1147516 1172462 1596544 1854256 2295032 2344924 2665493 3708512 4590064 4689848 5330986 5446877 7417024 9180128 9379696 10661972 10893754 13483313 14834048 18360256 18759392 21323944 21787508 26966626 36720512 37518784 42647888 43575016 53933252 75037568 85295776 87150032 107866504 125278171 170591552 174300064 215733008 250556342 341183104 348600128 431466016 501112684 697200256 862932032 1002225368 1445508443 1725864064 2004450736 2891016886 4008901472 5782033772 8017802944 11564067544 16035605888 23128135088 33246694189 46256270176 66493388378 67938896821 92512540352 132986776756 135877793642 185025080704 265973553512 271755587284 531947107024 543511174568 1063894214048 1087022349136 1562594626883 2127788428096 2174044698272 3125189253766 4255576856192 4348089396544 6250378507532 8696178793088 12500757015064 25001514030128 50003028060256 100006056120512 200012112241024