Search a number
-
+
2020101001020 = 22325311719121059
BaseRepresentation
bin11101011001010111011…
…001110000111100111100
321011010020022102111120100
4131121113121300330330
5231044131324013040
64144004355121100
7265642662123414
oct35312731607474
97133208374510
102020101001020
117097a1395423
122876138a3190
13118657b4330b
146dab8347644
1537832a49b30
hex1d657670f3c

2020101001020 has 144 divisors (see below), whose sum is σ = 6325973821440. Its totient is φ = 521261308800.

The previous prime is 2020101001001. The next prime is 2020101001057. The reversal of 2020101001020 is 201001010202.

It is a super-3 number, since 3×20201010010203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2020101000993 and 2020101001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95915251 + ... + 95936309.

It is an arithmetic number, because the mean of its divisors is an integer number (43930373760).

Almost surely, 22020101001020 is an apocalyptic number.

2020101001020 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 2020101001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162986910720).

2020101001020 is an abundant number, since it is smaller than the sum of its proper divisors (4305872820420).

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

2020101001020 is a wasteful number, since it uses less digits than its factorization.

2020101001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38296 (or 38291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2020101001020 its reverse (201001010202), we get a palindrome (2221102011222).

The spelling of 2020101001020 in words is "two trillion, twenty billion, one hundred one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 17191 21059 34382 42118 51573 63177 68764 84236 85955 103146 105295 126354 154719 171910 189531 206292 210590 252708 257865 309438 315885 343820 379062 421180 515730 532921 618876 631770 652829 758124 773595 947655 1031460 1065842 1263540 1305658 1547190 1598763 1895310 1958487 2131684 2611316 2664605 3094380 3197526 3264145 3790620 3916974 4796289 5329210 5875461 6395052 6528290 7833948 7993815 9592578 9792435 10658420 11750922 13056580 15987630 19185156 19584870 23501844 23981445 29377305 31975260 39169740 47962890 58754610 95925780 117509220 362025269 724050538 1086075807 1448101076 1810126345 2172151614 3258227421 3620252690 4344303228 5430379035 6516454842 7240505380 10860758070 11222783339 13032909684 16291137105 21721516140 22445566678 32582274210 33668350017 44891133356 56113916695 65164548420 67336700034 101005050051 112227833390 134673400068 168341750085 202010100102 224455666780 336683500170 404020200204 505025250255 673367000340 1010050500510 2020101001020