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201101211012200 = 235219307172382317
BaseRepresentation
bin101101101110011010000110…
…001111110000110001101000
3222101001002101011102121201212
4231232122012033300301220
5202324320240004342300
61551412342043132252
760234040323424052
oct5556320617606150
9871032334377655
10201101211012200
11590935a9a11774
121a67a918814088
1388299bbc15b05
1437934c9c868d2
15183b186003935
hexb6e6863f0c68

201101211012200 has 96 divisors (see below), whose sum is σ = 493771911679200. Its totient is φ = 75958543722240.

The previous prime is 201101211012199. The next prime is 201101211012217. The reversal of 201101211012200 is 2210112101102.

201101211012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85024559 + ... + 87357758.

It is an arithmetic number, because the mean of its divisors is an integer number (5143457413325).

Almost surely, 2201101211012200 is an apocalyptic number.

201101211012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101211012200 is an abundant number, since it is smaller than the sum of its proper divisors (292670700667000).

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

201101211012200 is a wasteful number, since it uses less digits than its factorization.

201101211012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172382659 (or 172382650 counting only the distinct ones).

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

Adding to 201101211012200 its reverse (2210112101102), we get a palindrome (203311323113302).

The spelling of 201101211012200 in words is "two hundred one trillion, one hundred one billion, two hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 307 380 475 614 760 950 1228 1535 1900 2456 3070 3800 5833 6140 7675 11666 12280 15350 23332 29165 30700 46664 58330 61400 116660 145825 233320 291650 583300 1166600 172382317 344764634 689529268 861911585 1379058536 1723823170 3275264023 3447646340 4309557925 6550528046 6895292680 8619115850 13101056092 16376320115 17238231700 26202112184 32752640230 34476463400 52921371319 65505280460 81881600575 105842742638 131010560920 163763201150 211685485276 264606856595 327526402300 423370970552 529213713190 655052804600 1005506055061 1058427426380 1323034282975 2011012110122 2116854852760 2646068565950 4022024220244 5027530275305 5292137131900 8044048440488 10055060550610 10584274263800 20110121101220 25137651376525 40220242202440 50275302753050 100550605506100 201101211012200