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220202201020100 = 225213317337454399
BaseRepresentation
bin110010000100010111010001…
…111110000111011011000100
31001212200010100222222122200112
4302010113101332013123010
5212330243101430120400
62100155254501132152
764245040550551565
oct6204272176073304
91055603328878615
10220202201020100
11641882578a8562
12208447b36ba058
1395b3c9488c830
143c53bb43c816c
151a6ce70718835
hexc845d1f876c4

220202201020100 has 144 divisors (see below), whose sum is σ = 531920221593600. Its totient is φ = 78575318438400.

The previous prime is 220202201020057. The next prime is 220202201020127. The reversal of 220202201020100 is 1020102202022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25812701 + ... + 33267099.

Almost surely, 2220202201020100 is an apocalyptic number.

220202201020100 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 220202201020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265960110796800).

220202201020100 is an abundant number, since it is smaller than the sum of its proper divisors (311718020573500).

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

220202201020100 is a wasteful number, since it uses less digits than its factorization.

220202201020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7455190 (or 7455183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220202201020100 its reverse (1020102202022), we get a palindrome (221222303222122).

The spelling of 220202201020100 in words is "two hundred twenty trillion, two hundred two billion, two hundred one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 733 775 806 1300 1466 1550 1612 2015 2932 3100 3665 4030 7330 8060 9529 10075 14660 18325 19058 20150 22723 36650 38116 40300 45446 47645 73300 90892 95290 113615 190580 227230 238225 295399 454460 476450 568075 590798 952900 1136150 1181596 1476995 2272300 2953990 5907980 7384975 7454399 14769950 14908798 29539900 29817596 37271995 74543990 96907187 149087980 186359975 193814374 231086369 372719950 387628748 462172738 484535935 745439900 924345476 969071870 1155431845 1938143740 2310863690 2422679675 3004122797 4621727380 4845359350 5464074467 5777159225 6008245594 9690718700 10928148934 11554318450 12016491188 15020613985 21856297868 23108636900 27320372335 30041227970 54640744670 60082455940 71032968071 75103069925 109281489340 136601861675 142065936142 150206139850 169386308477 273203723350 284131872284 300412279700 338772616954 355164840355 546407446700 677545233908 710329680710 846931542385 1420659361420 1693863084770 1775824201775 2202022010201 3387726169540 3551648403550 4234657711925 4404044020402 7103296807100 8469315423850 8808088040804 11010110051005 16938630847700 22020220102010 44040440204020 55050550255025 110101100510050 220202201020100