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221011012021100 = 225272317379349087
BaseRepresentation
bin110010010000001000100010…
…110111001110101101101100
31001222112110001102120121210112
4302100020202313032231230
5212432021023034133400
62102015020211555152
764360342623616310
oct6220104267165554
91058473042517715
10221011012021100
116446a2755a4764
12209554b88bbab8
1396423310b4562
143c80dc0a07b40
151a8400c302835
hexc90222dceb6c

221011012021100 has 144 divisors (see below), whose sum is σ = 575244070023168. Its totient is φ = 72061665941760.

The previous prime is 221011012021087. The next prime is 221011012021157. The reversal of 221011012021100 is 1120210110122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36889244 + ... + 42459843.

It is an arithmetic number, because the mean of its divisors is an integer number (3994750486272).

Almost surely, 2221011012021100 is an apocalyptic number.

221011012021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011012021100 is an abundant number, since it is smaller than the sum of its proper divisors (354233058002068).

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

221011012021100 is a wasteful number, since it uses less digits than its factorization.

221011012021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79349304 (or 79349297 counting only the distinct ones).

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

Adding to 221011012021100 its reverse (1120210110122), we get a palindrome (222131222131222).

The spelling of 221011012021100 in words is "two hundred twenty-one trillion, eleven billion, twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 173 175 230 322 346 350 460 575 644 692 700 805 865 1150 1211 1610 1730 2300 2422 3220 3460 3979 4025 4325 4844 6055 7958 8050 8650 12110 15916 16100 17300 19895 24220 27853 30275 39790 55706 60550 79580 99475 111412 121100 139265 198950 278530 397900 557060 696325 1392650 2785300 79349087 158698174 317396348 396745435 555443609 793490870 1110887218 1586981740 1825029001 1983727175 2221774436 2777218045 3650058002 3967454350 5554436090 7300116004 7934908700 9125145005 11108872180 12775203007 13727392051 13886090225 18250290010 25550406014 27454784102 27772180450 36500580020 45625725025 51100812028 54909568204 55544360900 63876015035 68636960255 91251450050 96091744357 127752030070 137273920510 182502900100 192183488714 255504060140 274547841020 315730017173 319380075175 343184801275 384366977428 480458721785 631460034346 638760150350 686369602550 960917443570 1262920068692 1277520300700 1372739205100 1578650085865 1921834887140 2210110120211 2402293608925 3157300171730 4420220240422 4804587217850 6314600343460 7893250429325 8840440480844 9609174435700 11050550601055 15786500858650 22101101202110 31573001717300 44202202404220 55252753005275 110505506010550 221011012021100