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20210220222100 = 225212710433152531
BaseRepresentation
bin1001001100001100011101…
…11111110100011010010100
32122120002002222220021012121
410212012032333310122110
510122111012334101400
6110552240315025324
74154066045310526
oct446061677643224
978502088807177
1020210220222100
116492119488387
122324a61a3b244
13b37a7ab07bbc
144dc273829a16
15250aaa6b921a
hex12618eff4694

20210220222100 has 72 divisors (see below), whose sum is σ = 44206028633088. Its totient is φ = 8019612518400.

The previous prime is 20210220222013. The next prime is 20210220222113. The reversal of 20210220222100 is 122202201202.

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, 132422835 + ... + 132575365.

It is an arithmetic number, because the mean of its divisors is an integer number (613972619904).

Almost surely, 220210220222100 is an apocalyptic number.

20210220222100 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 20210220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22103014316544).

20210220222100 is an abundant number, since it is smaller than the sum of its proper divisors (23995808410988).

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

20210220222100 is a wasteful number, since it uses less digits than its factorization.

20210220222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163105 (or 163098 counting only the distinct ones).

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

Adding to 20210220222100 its reverse (122202201202), we get a palindrome (20332422423302).

The spelling of 20210220222100 in words is "twenty trillion, two hundred ten billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 10433 12700 20866 41732 52165 104330 152531 208660 260825 305062 521650 610124 762655 1043300 1324991 1525310 2649982 3050620 3813275 5299964 6624955 7626550 13249910 15253100 19371437 26499820 33124775 38742874 66249550 77485748 96857185 132499100 193714370 387428740 484285925 968571850 1591355923 1937143700 3182711846 6365423692 7956779615 15913559230 31827118460 39783898075 79567796150 159135592300 202102202221 404204404442 808408808884 1010511011105 2021022022210 4042044044420 5052555055525 10105110111050 20210220222100