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22101100220200 = 2352110505501101
BaseRepresentation
bin1010000011001110100000…
…01110100100111100101000
32220020211210200012200020211
411001213100032210330220
510344101023124021300
6115001034423430504
74440515603146351
oct501472016447450
986224720180224
1022101100220200
117051029999711
12258b4118b5434
13c441812847c1
145659add26d28
15284d789794ba
hex1419d03a4f28

22101100220200 has 24 divisors (see below), whose sum is σ = 51385058012430. Its totient is φ = 8840440088000.

The previous prime is 22101100220183. The next prime is 22101100220237. The reversal of 22101100220200 is 202200110122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15712550776836 + 6388549443364 = 3963906^2 + 2527558^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55252750351 + ... + 55252750750.

Almost surely, 222101100220200 is an apocalyptic number.

22101100220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101100220200 is an abundant number, since it is smaller than the sum of its proper divisors (29283957792230).

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

22101100220200 is a wasteful number, since it uses less digits than its factorization.

22101100220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110505501117 (or 110505501108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22101100220200 its reverse (202200110122), we get a palindrome (22303300330322).

The spelling of 22101100220200 in words is "twenty-two trillion, one hundred one billion, one hundred million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 110505501101 221011002202 442022004404 552527505505 884044008808 1105055011010 2210110022020 2762637527525 4420220044040 5525275055050 11050550110100 22101100220200