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202100212221020 = 225235359140501531
BaseRepresentation
bin101101111100111100011111…
…010110111100010001011100
3222111120120222021110012021222
4231330330133112330101130
5202442202213312033040
61553455320014112512
760366154442535341
oct5574743726742134
9874516867405258
10202100212221020
115943924506a003
121a8004601ab738
13889cc782a8749
1437c99b97b87c8
151857154c26bb5
hexb7cf1f5bc45c

202100212221020 has 96 divisors (see below), whose sum is σ = 458866763389440. Its totient is φ = 74580460148480.

The previous prime is 202100212221013. The next prime is 202100212221101. The reversal of 202100212221020 is 20122212001202.

It is a happy number.

It is a super-2 number, since 2×2021002122210202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202100212221020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68812346 + ... + 71689185.

It is an arithmetic number, because the mean of its divisors is an integer number (4779862118640).

Almost surely, 2202100212221020 is an apocalyptic number.

202100212221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100212221020 is an abundant number, since it is smaller than the sum of its proper divisors (256766551168420).

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

202100212221020 is a wasteful number, since it uses less digits than its factorization.

202100212221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140501675 (or 140501673 counting only the distinct ones).

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

Adding to 202100212221020 its reverse (20122212001202), we get a palindrome (222222424222222).

The spelling of 202100212221020 in words is "two hundred two trillion, one hundred billion, two hundred twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 53 59 92 106 115 118 212 230 236 265 295 460 530 590 1060 1180 1219 1357 2438 2714 3127 4876 5428 6095 6254 6785 12190 12508 13570 15635 24380 27140 31270 62540 71921 143842 287684 359605 719210 1438420 140501531 281003062 562006124 702507655 1405015310 2810030620 3231535213 6463070426 7446581143 8289590329 12926140852 14893162286 16157676065 16579180658 29786324572 32315352130 33158361316 37232905715 41447951645 64630704260 74465811430 82895903290 148931622860 165791806580 171271366289 190660577567 342542732578 381321155134 439348287437 685085465156 762642310268 856356831445 878696574874 953302887835 1712713662890 1757393149748 1906605775670 2196741437185 3425427325780 3813211551340 4393482874370 8786965748740 10105010611051 20210021222102 40420042444204 50525053055255 101050106110510 202100212221020