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200010021112 = 231189127211953
BaseRepresentation
bin1011101001000110000…
…1101011100011111000
3201010021001010210212201
42322101201223203320
511234110031133422
6231514444515544
720310302062036
oct2722141534370
9633231123781
10200010021112
1177907496210
123291ab4bbb4
1315b2641a525
14997556d556
1553092a3727
hex2e9186b8f8

200010021112 has 128 divisors (see below), whose sum is σ = 419381452800. Its totient is φ = 88668518400.

The previous prime is 200010021083. The next prime is 200010021187. The reversal of 200010021112 is 211120010002.

200010021112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2000100211123 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 209873628 + ... + 209874580.

It is an arithmetic number, because the mean of its divisors is an integer number (3276417600).

Almost surely, 2200010021112 is an apocalyptic number.

200010021112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200010021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690726400).

200010021112 is an abundant number, since it is smaller than the sum of its proper divisors (219371431688).

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

200010021112 is a wasteful number, since it uses less digits than its factorization.

200010021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200010021112 its reverse (211120010002), we get a palindrome (411130031114).

The spelling of 200010021112 in words is "two hundred billion, ten million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 89 127 178 211 254 356 422 508 712 844 953 979 1016 1397 1688 1906 1958 2321 2794 3812 3916 4642 5588 7624 7832 9284 10483 11176 11303 18568 18779 20966 22606 26797 37558 41932 45212 53594 75116 83864 84817 90424 107188 121031 124333 150232 169634 201083 206569 214376 242062 248666 294767 339268 402166 413138 484124 497332 589534 678536 804332 826276 932987 968248 994664 1179068 1331341 1608664 1652552 1865974 2211913 2358136 2384933 2662682 3731948 4423826 4769866 5325364 7463896 8847652 9539732 10650728 10771759 17695304 17896387 19079464 21543518 25537541 26234263 35792774 43087036 51075082 52468526 71585548 86174072 102150164 104937052 118489349 143171096 196860257 204300328 209874104 236978698 280912951 393720514 473957396 561825902 787441028 947914792 1123651804 1574882056 2247303608 2272841149 4545682298 9091364596 18182729192 25001252639 50002505278 100005010556 200010021112