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202020102020 = 225112223374347
BaseRepresentation
bin1011110000100101010…
…1100001111110000100
3201022110010110111111202
42330021111201332010
511302214121231040
6232450131522032
720411150351162
oct2741125417604
9638403414452
10202020102020
1178749098800
12331a0159318
13160869b4209
149ac64d0232
1553c59a8015
hex2f09561f84

202020102020 has 72 divisors (see below), whose sum is σ = 468408175872. Its totient is φ = 73132234560.

The previous prime is 202020102007. The next prime is 202020102047. The reversal of 202020102020 is 20201020202.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a junction number, because it is equal to n+sod(n) for n = 202020101992 and 202020102010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352487 + ... + 726833.

Almost surely, 2202020102020 is an apocalyptic number.

202020102020 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 202020102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234204087936).

202020102020 is an abundant number, since it is smaller than the sum of its proper divisors (266388073852).

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

202020102020 is a wasteful number, since it uses less digits than its factorization.

202020102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374601 (or 374588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202020102020 its reverse (20201020202), we get a palindrome (222221122222).

The spelling of 202020102020 in words is "two hundred two billion, twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 223 242 446 484 605 892 1115 1210 2230 2420 2453 4460 4906 9812 12265 24530 26983 49060 53966 107932 134915 269830 374347 539660 748694 1497388 1871735 3743470 4117817 7486940 8235634 16471268 20589085 41178170 45295987 82356340 83479381 90591974 166958762 181183948 226479935 333917524 417396905 452959870 834793810 905919740 918273191 1669587620 1836546382 3673092764 4591365955 9182731910 10101005101 18365463820 20202010202 40404020404 50505025505 101010051010 202020102020