Search a number
-
+
20001222001010 = 25192331929158927
BaseRepresentation
bin1001000110000111001011…
…01110111000000101110010
32121211002122112212120220102
410203003211232320011302
510110200000313013020
6110312233505512402
74133016632612015
oct443034556700562
977732575776812
1020001222001010
11641151a430528
1222b0454942702
13b2115150c363
144d20c867737c
1524a4272ba475
hex1230e5bb8172

20001222001010 has 128 divisors (see below), whose sum is σ = 40864584499200. Its totient is φ = 7008407746560.

The previous prime is 20001222001003. The next prime is 20001222001027. The reversal of 20001222001010 is 1010022210002.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20001222000982 and 20001222001000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125772167 + ... + 125931093.

It is an arithmetic number, because the mean of its divisors is an integer number (319254566400).

Almost surely, 220001222001010 is an apocalyptic number.

20001222001010 is an abundant number, since it is smaller than the sum of its proper divisors (20863362498190).

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

20001222001010 is a wasteful number, since it uses less digits than its factorization.

20001222001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159936.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20001222001010 its reverse (1010022210002), we get a palindrome (21011244211012).

The spelling of 20001222001010 in words is "twenty trillion, one billion, two hundred twenty-two million, one thousand, ten".

Divisors: 1 2 5 10 19 23 31 38 46 62 95 115 155 190 230 310 437 589 713 874 929 1178 1426 1858 2185 2945 3565 4370 4645 5890 7130 9290 13547 17651 21367 27094 28799 35302 42734 57598 67735 88255 106835 135470 143995 158927 176510 213670 287990 317854 405973 547181 662377 794635 811946 1094362 1324754 1589270 2029865 2735905 3019613 3311885 3655321 4059730 4926737 5471810 6039226 6623770 7310642 9853474 12585163 15098065 18276605 24633685 25170326 30196130 36553210 49267370 62925815 69451099 93608003 113314951 125851630 138902198 147643183 187216006 226629902 295286366 347255495 468040015 566574755 694510990 738215915 936080030 1133149510 1476431830 2152984069 2805220477 3395793209 4305968138 4576938673 5610440954 6791586418 9153877346 10764920345 14026102385 16978966045 21529840690 22884693365 28052204770 33957932090 45769386730 64520070971 86961834787 105269589479 129040141942 173923669574 210539178958 322600354855 434809173935 526347947395 645200709710 869618347870 1052695894790 2000122200101 4000244400202 10000611000505 20001222001010