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22102000224100 = 2252221020002241
BaseRepresentation
bin1010000011010000001011…
…10111110100011101100100
32220020221010101201121111121
411001220011313310131210
510344104344024132400
6115001304013543324
74440550112102416
oct501500567643544
986227111647447
1022102000224100
117051450a23995
12258b6231a4b44
13c4429587cba4
14565a576849b6
15284dcc9a721a
hex141a05df4764

22102000224100 has 18 divisors (see below), whose sum is σ = 47961340486514. Its totient is φ = 8840800089600.

The previous prime is 22102000224089. The next prime is 22102000224113. The reversal of 22102000224100 is 142200020122.

It can be written as a sum of positive squares in 3 ways, for example, as 2309840673856 + 19792159550244 = 1519816^2 + 4448838^2 .

It is a super-2 number, since 2×221020002241002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110510001021 + ... + 110510001220.

Almost surely, 222102000224100 is an apocalyptic number.

22102000224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102000224100 is an abundant number, since it is smaller than the sum of its proper divisors (25859340262414).

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

22102000224100 is a wasteful number, since it uses less digits than its factorization.

22102000224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221020002255 (or 221020002248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22102000224100 its reverse (142200020122), we get a palindrome (22244200244222).

The spelling of 22102000224100 in words is "twenty-two trillion, one hundred two billion, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221020002241 442040004482 884080008964 1105100011205 2210200022410 4420400044820 5525500056025 11051000112050 22102000224100