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210122002212100 = 225211792417974709
BaseRepresentation
bin101111110001101011010111…
…010011010010010100000100
31000112222110121121112211112221
4233301223113103102110010
5210020114330031241400
62022520414253222124
762154546044451436
oct5761532723222404
91015873547484487
10210122002212100
1160a5127141a030
121b697075491944
13903255c371944
1439c5d5dd6c656
151945b4eb35c1a
hexbf1ad74d2504

210122002212100 has 72 divisors (see below), whose sum is σ = 503712491587200. Its totient is φ = 75440810889600.

The previous prime is 210122002212079. The next prime is 210122002212139. The reversal of 210122002212100 is 1212200221012.

It is a happy number.

210122002212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1208900455 + ... + 1209074254.

It is an arithmetic number, because the mean of its divisors is an integer number (6996006827600).

Almost surely, 2210122002212100 is an apocalyptic number.

210122002212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122002212100 is an abundant number, since it is smaller than the sum of its proper divisors (293590489375100).

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

210122002212100 is a wasteful number, since it uses less digits than its factorization.

210122002212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417974813 (or 2417974806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210122002212100 its reverse (1212200221012), we get a palindrome (211334202433112).

The spelling of 210122002212100 in words is "two hundred ten trillion, one hundred twenty-two billion, two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 17380 21725 43450 86900 2417974709 4835949418 9671898836 12089873545 24179747090 26597721799 48359494180 53195443598 60449367725 106390887196 120898735450 132988608995 191020002011 241797470900 265977217990 382040004022 531954435980 664943044975 764080008044 955100010055 1329886089950 1910200020110 2101220022121 2659772179900 3820400040220 4202440044242 4775500050275 8404880088484 9551000100550 10506100110605 19102000201100 21012200221210 42024400442420 52530500553025 105061001106050 210122002212100