Search a number
-
+
210202100222020 = 22541307881947783
BaseRepresentation
bin101111110010110101111101…
…100000111100100001000100
31000120021010100210002022212221
4233302311331200330201010
5210022422400124101040
62023021302311422124
762163412666346314
oct5762657540744104
91016233323068787
10210202100222020
1160a82234688445
121b6aa6aa084944
139039c858a149a
1439c9b9bb3b444
151947c8ba1474a
hexbf2d7d83c844

210202100222020 has 96 divisors (see below), whose sum is σ = 454179214976256. Its totient is φ = 81669995827200.

The previous prime is 210202100221933. The next prime is 210202100222027. The reversal of 210202100222020 is 20222001202012.

It is a junction number, because it is equal to n+sod(n) for n = 210202100221985 and 210202100222003.

It is not an unprimeable number, because it can be changed into a prime (210202100222027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221309049 + ... + 222256831.

It is an arithmetic number, because the mean of its divisors is an integer number (4731033489336).

Almost surely, 2210202100222020 is an apocalyptic number.

210202100222020 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 210202100222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227089607488128).

210202100222020 is an abundant number, since it is smaller than the sum of its proper divisors (243977114754236).

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

210202100222020 is a wasteful number, since it uses less digits than its factorization.

210202100222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949021 (or 949019 counting only the distinct ones).

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

Adding to 210202100222020 its reverse (20222001202012), we get a palindrome (230424101424032).

The spelling of 210202100222020 in words is "two hundred ten trillion, two hundred two billion, one hundred million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 307 410 614 820 881 1228 1535 1762 3070 3524 4405 6140 8810 12587 17620 25174 36121 50348 62935 72242 125870 144484 180605 251740 270467 361210 540934 722420 947783 1081868 1352335 1895566 2704670 3791132 4738915 5409340 9477830 11089147 18955660 22178294 38859103 44356588 55445735 77718206 110891470 155436412 194295515 221782940 290969381 388591030 581938762 777182060 834996823 1163877524 1454846905 1669993646 2909693810 3339987292 4174984115 5819387620 8349968230 11929744621 16699936460 23859489242 34234869743 47718978484 59648723105 68469739486 119297446210 136939478972 171174348715 238594892420 256344024661 342348697430 512688049322 684697394860 1025376098644 1281720123305 2563440246610 5126880493220 10510105011101 21020210022202 42040420044404 52550525055505 105101050111010 210202100222020