Search a number
-
+
10020221212120 = 235741872841569
BaseRepresentation
bin1001000111010000001110…
…1110011101010111011000
31022110220221110000021001121
42101310003232131113120
52303132403112241440
633151120455455024
72052636264663430
oct221640356352730
938426843007047
1010020221212120
113213608713a79
121159b9b987474
13578b976064b2
14268da49592c0
151259b030834a
hex91d03b9d5d8

10020221212120 has 64 divisors (see below), whose sum is σ = 26394729076800. Its totient is φ = 3351711621120.

The previous prime is 10020221212097. The next prime is 10020221212151. The reversal of 10020221212120 is 2121212202001.

It is a happy number.

10020221212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10020221212094 and 10020221212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436409305 + ... + 436432264.

It is an arithmetic number, because the mean of its divisors is an integer number (412417641825).

Almost surely, 210020221212120 is an apocalyptic number.

10020221212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020221212120 is an abundant number, since it is smaller than the sum of its proper divisors (16374507864680).

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

10020221212120 is a wasteful number, since it uses less digits than its factorization.

10020221212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872841628 (or 872841624 counting only the distinct ones).

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

Adding to 10020221212120 its reverse (2121212202001), we get a palindrome (12141433414121).

The spelling of 10020221212120 in words is "ten trillion, twenty billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 872841569 1745683138 3491366276 4364207845 6109890983 6982732552 8728415690 12219781966 17456831380 24439563932 30549454915 34913662760 35786504329 48879127864 61098909830 71573008658 122197819660 143146017316 178932521645 244395639320 250505530303 286292034632 357865043290 501011060606 715730086580 1002022121212 1252527651515 1431460173160 2004044242424 2505055303030 5010110606060 10020221212120