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200001110122112 = 27136771759100931
BaseRepresentation
bin101101011110011001100011…
…000111111001111010000000
3222020010220211020112002211012
4231132121203013321322000
5202203304233142401422
61545211124103140052
760061413645226235
oct5536314307717200
9866126736462735
10200001110122112
11587a9aa3711542
121a52167b144628
13877a040274b80
14375616923978c
15181c74b7744e2
hexb5e6631f9e80

200001110122112 has 128 divisors (see below), whose sum is σ = 429971288947200. Its totient is φ = 92118542929920.

The previous prime is 200001110122103. The next prime is 200001110122123. The reversal of 200001110122112 is 211221011100002.

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

It is a super-2 number, since 2×2000011101221122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1981512287 + ... + 1981613217.

It is an arithmetic number, because the mean of its divisors is an integer number (3359150694900).

Almost surely, 2200001110122112 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 200001110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214985644473600).

200001110122112 is an abundant number, since it is smaller than the sum of its proper divisors (229970178825088).

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

200001110122112 is a wasteful number, since it uses less digits than its factorization.

200001110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103394 (or 103382 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 200001110122112 its reverse (211221011100002), we get a palindrome (411222121222114).

The spelling of 200001110122112 in words is "two hundred trillion, one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 677 832 1354 1664 1759 2708 3518 5416 7036 8801 10832 14072 17602 21664 22867 28144 35204 43328 45734 56288 70408 86656 91468 100931 112576 140816 182936 201862 225152 281632 365872 403724 563264 731744 807448 1126528 1190843 1312103 1463488 1614896 2381686 2624206 2926976 3229792 4763372 5248412 6459584 9526744 10496824 12919168 15480959 19053488 20993648 30961918 38106976 41987296 61923836 68330287 76213952 83974592 123847672 136660574 152427904 167949184 177537629 247695344 273321148 355075258 495390688 546642296 710150516 888293731 990781376 1093284592 1420301032 1776587462 1981562752 2186569184 2307989177 2840602064 3553174924 4373138368 4615978354 5681204128 7106349848 8746276736 9231956708 11362408256 14212699696 18463913416 22724816512 28425399392 36927826832 56850798784 73855653664 113701597568 120192974833 147711307328 240385949666 295422614656 480771899332 961543798664 1562508672829 1923087597328 3125017345658 3846175194656 6250034691316 7692350389312 12500069382632 15384700778624 25000138765264 50000277530528 100000555061056 200001110122112