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20102002202020 = 22523443235141959
BaseRepresentation
bin1001001001000010111001…
…01100110101010110100100
32122011201210002121020201211
410210201130230311112210
510113322400030431040
6110430422103201204
74143215232313024
oct444413454652644
978151702536654
1020102002202020
116450236204152
122307a9ba46204
13b2a7c285bbab
144d6d2918ba84
1524cd74c6a8ea
hex12485cb355a4

20102002202020 has 96 divisors (see below), whose sum is σ = 44168871075840. Its totient is φ = 7670392329600.

The previous prime is 20102002201907. The next prime is 20102002202021. The reversal of 20102002202020 is 2020220020102.

It is not an unprimeable number, because it can be changed into a prime (20102002202021) 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, 479065801 + ... + 479107759.

It is an arithmetic number, because the mean of its divisors is an integer number (460092407040).

Almost surely, 220102002202020 is an apocalyptic number.

20102002202020 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 20102002202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084435537920).

20102002202020 is an abundant number, since it is smaller than the sum of its proper divisors (24066868873820).

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

20102002202020 is a wasteful number, since it uses less digits than its factorization.

20102002202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44785 (or 44783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20102002202020 its reverse (2020220020102), we get a palindrome (22122222222122).

The spelling of 20102002202020 in words is "twenty trillion, one hundred two billion, two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 443 460 886 1772 2215 2351 4430 4702 8860 9404 10189 11755 20378 23510 40756 41959 47020 50945 54073 83918 101890 108146 167836 203780 209795 216292 270365 419590 540730 839180 965057 1041493 1081460 1930114 2082986 3860228 4165972 4825285 5207465 9650570 10414930 18587837 19301140 20829860 23954339 37175674 47908678 74351348 92939185 95817356 98645609 119771695 185878370 197291218 239543390 371756740 394582436 427520251 479086780 493228045 855040502 986456090 1710081004 1972912180 2137601255 2268849007 4275202510 4537698014 8550405020 9075396028 11344245035 22688490070 43700004787 45376980140 87400009574 174800019148 218500023935 437000047870 874000095740 1005100110101 2010200220202 4020400440404 5025500550505 10051001101010 20102002202020