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221122203313100 = 225223300073320389
BaseRepresentation
bin110010010001110000000110…
…011000010110001111001100
31001222221002001112121111120112
4302101300012120112033030
5212440331233022004400
62102142045435135152
764401360222166265
oct6221600630261714
91058832045544515
10221122203313100
1164502444143111
1220972b6a5a44b8
13964c97134716b
143c8652c0d196c
151a86d68cb5835
hexc91c066163cc

221122203313100 has 72 divisors (see below), whose sum is σ = 500700811742880. Its totient is φ = 84602731783680.

The previous prime is 221122203313087. The next prime is 221122203313157. The reversal of 221122203313100 is 1313302221122.

It is a super-2 number, since 2×2211222033131002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 690007706 + ... + 690328094.

Almost surely, 2221122203313100 is an apocalyptic number.

221122203313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122203313100 is an abundant number, since it is smaller than the sum of its proper divisors (279578608429780).

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

221122203313100 is a wasteful number, since it uses less digits than its factorization.

221122203313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620499 (or 620492 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 221122203313100 its reverse (1313302221122), we get a palindrome (222435505534222).

The spelling of 221122203313100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 300073 320389 600146 640778 1200292 1281556 1500365 1601945 3000730 3203890 6001460 6407780 6901679 7368947 7501825 8009725 13803358 14737894 15003650 16019450 27606716 29475788 30007300 32038900 34508395 36844735 69016790 73689470 138033580 147378940 172541975 184223675 345083950 368447350 690167900 736894700 96140088397 192280176794 384560353588 480700441985 961400883970 1922801767940 2211222033131 2403502209925 4422444066262 4807004419850 8844888132524 9614008839700 11056110165655 22112220331310 44224440662620 55280550828275 110561101656550 221122203313100