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21220122202100 = 22521935231210187
BaseRepresentation
bin1001101001100101100011…
…10110001000111111110100
32210010121211210122101122122
410310302301312020333310
510240132302240431400
6113044220051215112
74320050260434113
oct464626166107764
983117753571578
1021220122202100
116841448859418
122468727ba7498
13bac0836916b3
145350b8d9bc7a
1526beb63ca685
hex134cb1d88ff4

21220122202100 has 72 divisors (see below), whose sum is σ = 46295322826368. Its totient is φ = 8442414950400.

The previous prime is 21220122202039. The next prime is 21220122202159. The reversal of 21220122202100 is 120222102212.

It is a happy number.

It is a congruent number.

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, 100853207 + ... + 101063393.

Almost surely, 221220122202100 is an apocalyptic number.

21220122202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220122202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23147661413184).

21220122202100 is an abundant number, since it is smaller than the sum of its proper divisors (25075200624268).

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

21220122202100 is a wasteful number, since it uses less digits than its factorization.

21220122202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215625 (or 215618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21220122202100 its reverse (120222102212), we get a palindrome (21340344304312).

The spelling of 21220122202100 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3860 4825 5231 9650 10462 19300 20924 26155 52310 104620 130775 210187 261550 420374 523100 840748 1009583 1050935 2019166 2101870 4038332 4203740 5047915 5254675 10095830 10509350 20191660 21018700 25239575 40566091 50479150 81132182 100958300 162264364 202830455 405660910 811321820 1014152275 1099488197 2028304550 2198976394 4056609100 4397952788 5497440985 10994881970 21989763940 27487204925 54974409850 109948819700 212201222021 424402444042 848804888084 1061006110105 2122012220210 4244024440420 5305030550525 10610061101050 21220122202100