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21002221102100 = 22527157889190027
BaseRepresentation
bin1001100011001111101011…
…11011011010010000010100
32202100210101220021121102112
410301213311323122100110
510223100022100231400
6112400142010330152
74265234421566150
oct461476573322024
982323356247375
1021002221102100
116767aa03158a7
122432455429958
13b9466878bb74
14528727676060
152664b15d6835
hex1319f5eda414

21002221102100 has 72 divisors (see below), whose sum is σ = 52086112317120. Its totient is φ = 7200678021120.

The previous prime is 21002221102001. The next prime is 21002221102117. The reversal of 21002221102100 is 120112220012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110427287 + ... + 110617313.

Almost surely, 221002221102100 is an apocalyptic number.

21002221102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002221102100 is an abundant number, since it is smaller than the sum of its proper divisors (31083891215020).

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

21002221102100 is a wasteful number, since it uses less digits than its factorization.

21002221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347937 (or 347930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21002221102100 its reverse (120112220012), we get a palindrome (21122333322112).

The spelling of 21002221102100 in words is "twenty-one trillion, two billion, two hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 157889 190027 315778 380054 631556 760108 789445 950135 1105223 1330189 1578890 1900270 2210446 2660378 3157780 3800540 3947225 4420892 4750675 5320756 5526115 6650945 7894450 9501350 11052230 13301890 15788900 19002700 22104460 26603780 27630575 33254725 55261150 66509450 110522300 133018900 30003173003 60006346006 120012692012 150015865015 210022211021 300031730030 420044422042 600063460060 750079325075 840088844084 1050111055105 1500158650150 2100222110210 3000317300300 4200444220420 5250555275525 10501110551050 21002221102100