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22101200210120 = 2351095069082617
BaseRepresentation
bin1010000011001110101100…
…01100000000100011001000
32220020212001122100200122012
411001213112030000203020
510344101224223210440
6115001052354515052
74440521226100223
oct501472614004310
986225048320565
1022101200210120
117051080383609
12258b43b295a88
13c44198bc3835
145659bd3145ba
15284d8262ae65
hex1419d63008c8

22101200210120 has 32 divisors (see below), whose sum is σ = 50183917918200. Its totient is φ = 8759374760448.

The previous prime is 22101200210093. The next prime is 22101200210143. The reversal of 22101200210120 is 2101200210122.

It can be written as a sum of positive squares in 4 ways, for example, as 20406053497636 + 1695146712484 = 4517306^2 + 1301978^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22101200210095 and 22101200210104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2534536949 + ... + 2534545668.

Almost surely, 222101200210120 is an apocalyptic number.

22101200210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101200210120 is an abundant number, since it is smaller than the sum of its proper divisors (28082717708080).

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

22101200210120 is a wasteful number, since it uses less digits than its factorization.

22101200210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069082737 (or 5069082733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22101200210120 its reverse (2101200210122), we get a palindrome (24202400420242).

The spelling of 22101200210120 in words is "twenty-two trillion, one hundred one billion, two hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 5069082617 10138165234 20276330468 25345413085 40552660936 50690826170 101381652340 202763304680 552530005253 1105060010506 2210120021012 2762650026265 4420240042024 5525300052530 11050600105060 22101200210120