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22100200020100 = 2252221002000201
BaseRepresentation
bin1010000011001100110101…
…00100100101100010000100
32220020202110221022202212101
411001212122210211202010
510344042202201120400
6115000405225201444
74440454362445306
oct501463244454204
986222427282771
1022100200020100
11705070783aa94
12258b200330284
13c4406991b017
14565926557976
15284d2490d56a
hex14199a925884

22100200020100 has 18 divisors (see below), whose sum is σ = 47957434043834. Its totient is φ = 8840080008000.

The previous prime is 22100200020053. The next prime is 22100200020163. The reversal of 22100200020100 is 102000200122.

It can be written as a sum of positive squares in 3 ways, for example, as 94475087424 + 22005724932676 = 307368^2 + 4691026^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110501000001 + ... + 110501000200.

Almost surely, 222100200020100 is an apocalyptic number.

22100200020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100200020100 is an abundant number, since it is smaller than the sum of its proper divisors (25857234023734).

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

22100200020100 is a wasteful number, since it uses less digits than its factorization.

22100200020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221002000215 (or 221002000208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100200020100 its reverse (102000200122), we get a palindrome (22202200220222).

The spelling of 22100200020100 in words is "twenty-two trillion, one hundred billion, two hundred million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221002000201 442004000402 884008000804 1105010001005 2210020002010 4420040004020 5525050005025 11050100010050 22100200020100