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202020002112020 = 225298917627222023
BaseRepresentation
bin101101111011110001110010…
…011101101010001000010100
3222111021220221021222110221012
4231323301302131222020110
5202434343431020041040
61553354412513111352
760360314660054141
oct5573616235521024
9874256837873835
10202020002112020
11594082245a5a24
121a7a89b5b58558
13889553478a2a1
1437c5b6ab893c8
15185500d0a3865
hexb7bc7276a214

202020002112020 has 96 divisors (see below), whose sum is σ = 443829350764800. Its totient is φ = 77140147825664.

The previous prime is 202020002112007. The next prime is 202020002112133. The reversal of 202020002112020 is 20211200020202.

It is a junction number, because it is equal to n+sod(n) for n = 202020002111986 and 202020002112004.

It is a congruent number.

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, 909794729 + ... + 910016751.

It is an arithmetic number, because the mean of its divisors is an integer number (4623222403800).

Almost surely, 2202020002112020 is an apocalyptic number.

202020002112020 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 202020002112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221914675382400).

202020002112020 is an abundant number, since it is smaller than the sum of its proper divisors (241809348652780).

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

202020002112020 is a wasteful number, since it uses less digits than its factorization.

202020002112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239777 (or 239775 counting only the distinct ones).

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

Adding to 202020002112020 its reverse (20211200020202), we get a palindrome (222231202132222).

The spelling of 202020002112020 in words is "two hundred two trillion, twenty billion, two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 890 1780 2581 5162 10324 12905 17627 25810 35254 51620 70508 88135 176270 222023 352540 444046 511183 888092 1022366 1110115 1568803 2044732 2220230 2555915 3137606 4440460 5111830 6275212 6438667 7844015 10223660 12877334 15688030 19760047 25754668 31376060 32193335 39520094 45495287 64386670 79040188 90990574 98800235 128773340 181981148 197600470 227476435 395200940 454952870 573041363 909905740 1146082726 2292165452 2865206815 3913599421 5730413630 7827198842 11460827260 15654397684 19567997105 39135994210 78271988420 113494383209 226988766418 348310348469 453977532836 567471916045 696620696938 1134943832090 1393241393876 1741551742345 2269887664180 3483103484690 6966206969380 10101000105601 20202000211202 40404000422404 50505000528005 101010001056010 202020002112020