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221020122110200 = 23527198309027147
BaseRepresentation
bin110010010000010001000001…
…110111011101100011111000
31001222120022120022211002122221
4302100101001313131203320
5212432143202230011300
62102023124204453424
764361114444242660
oct6220210167354370
91058508508732587
10221020122110200
116447311aa48516
122095721b84a274
1396431535cb61a
143c816068b91a0
151a84391ec831a
hexc90441ddd8f8

221020122110200 has 96 divisors (see below), whose sum is σ = 618191619811200. Its totient is φ = 71789994541440.

The previous prime is 221020122110171. The next prime is 221020122110201. The reversal of 221020122110200 is 2011221020122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020122110201) 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, 4154486974 + ... + 4154540173.

It is an arithmetic number, because the mean of its divisors is an integer number (6439496039700).

Almost surely, 2221020122110200 is an apocalyptic number.

221020122110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020122110200 is an abundant number, since it is smaller than the sum of its proper divisors (397171497701000).

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

221020122110200 is a wasteful number, since it uses less digits than its factorization.

221020122110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309027189 (or 8309027180 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221020122110200 its reverse (2011221020122), we get a palindrome (223031343130322).

The spelling of 221020122110200 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 6650 13300 26600 8309027147 16618054294 33236108588 41545135735 58163190029 66472217176 83090271470 116326380058 157871515793 166180542940 207725678675 232652760116 290815950145 315743031586 332361085880 415451357350 465305520232 581631900290 631486063172 789357578965 830902714700 1105100610551 1163263800580 1262972126344 1454079750725 1578715157930 1661805429400 2210201221102 2326527601160 2908159501450 3157430315860 3946787894825 4420402442204 5525503052755 5816319002900 6314860631720 7893575789650 8840804884408 11051006105510 11632638005800 15787151579300 22102012211020 27627515263775 31574303158600 44204024422040 55255030527550 110510061055100 221020122110200