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211221144203300 = 225271127431317429
BaseRepresentation
bin110000000001101011000001…
…010001001111000000100100
31000200212112200201010020110222
4300001223001101033000210
5210141121400404001200
62025121353140503512
762330136600310550
oct6001530121170044
91020775621106428
10211221144203300
1161335425419340
121b8340a59aab98
1390b20b74664aa
143a2322d4ca860
151964530101d85
hexc01ac144f024

211221144203300 has 72 divisors (see below), whose sum is σ = 571449204701760. Its totient is φ = 65835161827200.

The previous prime is 211221144203243. The next prime is 211221144203309. The reversal of 211221144203300 is 3302441122112.

It is a happy number.

It is a super-2 number, since 2×2112211442033002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221144203300.

It is not an unprimeable number, because it can be changed into a prime (211221144203309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13715651015 + ... + 13715666414.

Almost surely, 2211221144203300 is an apocalyptic number.

211221144203300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221144203300 is an abundant number, since it is smaller than the sum of its proper divisors (360228060498460).

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

211221144203300 is a wasteful number, since it uses less digits than its factorization.

211221144203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27431317461 (or 27431317454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 211221144203300 its reverse (3302441122112), we get a palindrome (214523585325412).

The spelling of 211221144203300 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred forty-four million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 27431317429 54862634858 109725269716 137156587145 192019222003 274313174290 301744491719 384038444006 548626348580 603488983438 685782935725 768076888012 960096110015 1206977966876 1371565871450 1508722458595 1920192220030 2112211442033 2743131742900 3017444917190 3840384440060 4224422884066 4800480550075 6034889834380 7543612292975 8448845768132 9600961100150 10561057210165 15087224585950 19201922200300 21122114420330 30174449171900 42244228840660 52805286050825 105610572101650 211221144203300