Search a number
-
+
2002110110220 = 2235113781986491
BaseRepresentation
bin11101001000100111000…
…011111101101000001100
321002101210111101120000110
4131020213003331220030
5230300310142011340
64131431240000020
7264435104100633
oct35104703755014
97071714346013
102002110110220
117020a9a64930
12284032760010
13116a4b781cbc
146cc8cc0c51a
153712d390680
hex1d2270fda0c

2002110110220 has 96 divisors (see below), whose sum is σ = 6280821179136. Its totient is φ = 472242182400.

The previous prime is 2002110110219. The next prime is 2002110110239. The reversal of 2002110110220 is 220110112002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002110110196 and 2002110110205.

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, 40968826 + ... + 41017665.

It is an arithmetic number, because the mean of its divisors is an integer number (65425220616).

Almost surely, 22002110110220 is an apocalyptic number.

2002110110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002110110220 is an abundant number, since it is smaller than the sum of its proper divisors (4278711068916).

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

2002110110220 is a wasteful number, since it uses less digits than its factorization.

2002110110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81986551 (or 81986549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002110110220 its reverse (220110112002), we get a palindrome (2222220222222).

The spelling of 2002110110220 in words is "two trillion, two billion, one hundred ten million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 81986491 163972982 245959473 327945964 409932455 491918946 819864910 901851401 983837892 1229797365 1639729820 1803702802 2459594730 2705554203 3033500167 3607405604 4509257005 4919189460 5411108406 6067000334 9018514010 9100500501 10822216812 12134000668 13527771015 15167500835 18037028020 18201001002 27055542030 30335001670 33368501837 36402002004 45502502505 54111084060 60670003340 66737003674 91005005010 100105505511 133474007348 166842509185 182010010020 200211011022 333685018370 400422022044 500527527555 667370036740 1001055055110 2002110110220