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21201222021020 = 22519727743103289
BaseRepresentation
bin1001101001000010010110…
…10011101010111110011100
32210001211001121121201022222
410310201023103222332130
510234330100314133040
6113031412410524512
74315511021520266
oct464411323527634
983054047551288
1021201222021020
11683442a130658
122464b32436738
13baa360b031b2
14534204ba8b36
1526b75beabbb5
hex13484b4eaf9c

21201222021020 has 96 divisors (see below), whose sum is σ = 46993942195200. Its totient is φ = 8012220378624.

The previous prime is 21201222021011. The next prime is 21201222021029. The reversal of 21201222021020 is 2012022210212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21201222021011) and next prime (21201222021029).

It is a self number, because there is not a number n which added to its sum of digits gives 21201222021020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201222021029) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 205209536 + ... + 205312824.

It is an arithmetic number, because the mean of its divisors is an integer number (489520231200).

Almost surely, 221201222021020 is an apocalyptic number.

21201222021020 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 21201222021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496971097600).

21201222021020 is an abundant number, since it is smaller than the sum of its proper divisors (25792720174180).

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

21201222021020 is a wasteful number, since it uses less digits than its factorization.

21201222021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104787 (or 104785 counting only the distinct ones).

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

Adding to 21201222021020 its reverse (2012022210212), we get a palindrome (23213244231232).

The spelling of 21201222021020 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 727 743 1454 1486 2908 2972 3635 3715 7270 7430 13813 14117 14540 14860 27626 28234 55252 56468 69065 70585 103289 138130 141170 206578 276260 282340 413156 516445 540161 1032890 1080322 1962491 2065780 2160644 2700805 3924982 5401610 7849964 9812455 10263059 10803220 19624910 20526118 39249820 41052236 51315295 75091103 76743727 102630590 150182206 153487454 205261180 300364412 306974908 375455515 383718635 750911030 767437270 1426730957 1458130813 1501822060 1534874540 2853461914 2916261626 5706923828 5832523252 7133654785 7290654065 14267309570 14581308130 28534619140 29162616260 55792689529 111585379058 223170758116 278963447645 557926895290 1060061101051 1115853790580 2120122202102 4240244404204 5300305505255 10600611010510 21201222021020