Search a number
-
+
2102110022220 = 22351312912087539
BaseRepresentation
bin11110100101101111100…
…001010110101001001100
321102221220122212102112220
4132211233201112221030
5233420110131202340
64245410201055340
7304605150241605
oct36455741265114
97387818772486
102102110022220
1174055533a8aa
1229b4a0487550
131232c7260670
1473a57c48dac
1539a325aded0
hex1e96f856a4c

2102110022220 has 96 divisors (see below), whose sum is σ = 6343583151360. Its totient is φ = 517041411840.

The previous prime is 2102110022219. The next prime is 2102110022251. The reversal of 2102110022220 is 222200112012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102110022220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36790 + ... + 2050749.

It is an arithmetic number, because the mean of its divisors is an integer number (66078991160).

Almost surely, 22102110022220 is an apocalyptic number.

2102110022220 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 2102110022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171791575680).

2102110022220 is an abundant number, since it is smaller than the sum of its proper divisors (4241473129140).

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

2102110022220 is a wasteful number, since it uses less digits than its factorization.

2102110022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088855 (or 2088853 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2102110022220 its reverse (222200112012), we get a palindrome (2324310134232).

The spelling of 2102110022220 in words is "two trillion, one hundred two billion, one hundred ten million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1291 2582 3873 5164 6455 7746 12910 15492 16783 19365 25820 33566 38730 50349 67132 77460 83915 100698 167830 201396 251745 335660 503490 1006980 2087539 4175078 6262617 8350156 10437695 12525234 20875390 25050468 27138007 31313085 41750780 54276014 62626170 81414021 108552028 125252340 135690035 162828042 271380070 325656084 407070105 542760140 814140210 1628280420 2695012849 5390025698 8085038547 10780051396 13475064245 16170077094 26950128490 32340154188 35035167037 40425192735 53900256980 70070334074 80850385470 105105501111 140140668148 161700770940 175175835185 210211002222 350351670370 420422004444 525527505555 700703340740 1051055011110 2102110022220