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221000201011020 = 223512501412946337
BaseRepresentation
bin110010001111111110011110…
…011110011111111101001100
31001222111102010222202101222210
4302033332132132133331030
5212431331402424323040
62102010031334310420
764356511000553424
oct6217763636377514
91058442128671883
10221000201011020
1164465728009892
12209533a01b8410
1396412ca38a982
143c80676c91484
151a83ac8145480
hexc8ff9e79ff4c

221000201011020 has 48 divisors (see below), whose sum is σ = 618801267839328. Its totient is φ = 58933319792640.

The previous prime is 221000201011013. The next prime is 221000201011091. The reversal of 221000201011020 is 20110102000122.

It is a super-2 number, since 2×2210002010110202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221000201010987 and 221000201011005.

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, 73535292 + ... + 76481628.

It is an arithmetic number, because the mean of its divisors is an integer number (12891693079986).

Almost surely, 2221000201011020 is an apocalyptic number.

221000201011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000201011020 is an abundant number, since it is smaller than the sum of its proper divisors (397801066828308).

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

221000201011020 is a wasteful number, since it uses less digits than its factorization.

221000201011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196490 (or 4196488 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221000201011020 its reverse (20110102000122), we get a palindrome (241110303011142).

The spelling of 221000201011020 in words is "two hundred twenty-one trillion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1250141 2500282 2946337 3750423 5000564 5892674 6250705 7500846 8839011 11785348 12501410 14731685 15001692 17678022 18752115 25002820 29463370 35356044 37504230 44195055 58926740 75008460 88390110 176780220 3683336683517 7366673367034 11050010050551 14733346734068 18416683417585 22100020101102 36833366835170 44200040202204 55250050252755 73666733670340 110500100505510 221000201011020