Search a number
-
+
11201210211200 = 275212727562033
BaseRepresentation
bin1010001011111111110000…
…1001111101101110000000
31110122211021121011110110212
42202333330021331232000
52432010034303224300
635453433120413252
72234155300565012
oct242777411755600
943584247143425
1011201210211200
113629452170759
12130aa52777228
136333673a1419
142aa1da2841b2
15146580ed4935
hexa2ffc27db80

11201210211200 has 96 divisors (see below), whose sum is σ = 27888368482560. Its totient is φ = 4445204520960.

The previous prime is 11201210211157. The next prime is 11201210211209. The reversal of 11201210211200 is 211201210211.

It is a super-2 number, since 2×112012102112002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201210211209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13374617 + ... + 14187416.

It is an arithmetic number, because the mean of its divisors is an integer number (290503838360).

Almost surely, 211201210211200 is an apocalyptic number.

11201210211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201210211200 is an abundant number, since it is smaller than the sum of its proper divisors (16687158271360).

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

11201210211200 is a wasteful number, since it uses less digits than its factorization.

11201210211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27562184 (or 27562167 counting only the distinct ones).

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

Adding to 11201210211200 its reverse (211201210211), we get a palindrome (11412411421411).

The spelling of 11201210211200 in words is "eleven trillion, two hundred one billion, two hundred ten million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 127 128 160 200 254 320 400 508 635 640 800 1016 1270 1600 2032 2540 3175 3200 4064 5080 6350 8128 10160 12700 16256 20320 25400 40640 50800 81280 101600 203200 406400 27562033 55124066 110248132 137810165 220496264 275620330 440992528 551240660 689050825 881985056 1102481320 1378101650 1763970112 2204962640 2756203300 3500378191 3527940224 4409925280 5512406600 7000756382 8819850560 11024813200 14001512764 17501890955 17639701120 22049626400 28003025528 35003781910 44099252800 56006051056 70007563820 87509454775 88198505600 112012102112 140015127640 175018909550 224024204224 280030255280 350037819100 448048408448 560060510560 700075638200 1120121021120 1400151276400 2240242042240 2800302552800 5600605105600 11201210211200