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20120221010010 = 235111015231154239
BaseRepresentation
bin1001001001100100110101…
…01000000100100001011010
32122020110210210111120220010
410210302122220010201122
510114122203034310020
6110443034003342350
74144431555525222
oct444623250044132
978213723446803
1020120221010010
116457a35255260
12230b5253819b6
13b2c437200454
144d7b76a95082
1524d58e445de0
hex124c9aa0485a

20120221010010 has 128 divisors (see below), whose sum is σ = 53301732065280. Its totient is φ = 4820097888000.

The previous prime is 20120221010003. The next prime is 20120221010027. The reversal of 20120221010010 is 1001012202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16854471 + ... + 18008709.

It is an arithmetic number, because the mean of its divisors is an integer number (416419781760).

Almost surely, 220120221010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120221010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650866032640).

20120221010010 is an abundant number, since it is smaller than the sum of its proper divisors (33181511055270).

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

20120221010010 is a wasteful number, since it uses less digits than its factorization.

20120221010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154884.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20120221010010 its reverse (1001012202102), we get a palindrome (21121233212112).

It can be divided in two parts, 201202 and 21010010, that added together give a palindrome (21211212).

The spelling of 20120221010010 in words is "twenty trillion, one hundred twenty billion, two hundred twenty-one million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 523 606 1010 1046 1111 1515 1569 2222 2615 3030 3138 3333 5230 5555 5753 6666 7845 11110 11506 15690 16665 17259 28765 33330 34518 52823 57530 86295 105646 158469 172590 264115 316938 528230 581053 792345 1154239 1162106 1584690 1743159 2308478 2905265 3462717 3486318 5771195 5810530 6925434 8715795 11542390 12696629 17313585 17431590 25393258 34627170 38089887 63483145 76179774 116578139 126966290 190449435 233156278 349734417 380898870 582890695 603666997 699468834 1165781390 1207333994 1282359529 1748672085 1811000991 2564719058 3018334985 3497344170 3622001982 3847078587 6036669970 6411797645 6640336967 7694157174 9055004955 12823595290 13280673934 18110009910 19235392935 19921010901 33201684835 38470785870 39842021802 60970366697 66403369670 99605054505 121940733394 182911100091 199210109010 304851833485 365822200182 609703666970 670674033667 914555500455 1341348067334 1829111000910 2012022101001 3353370168335 4024044202002 6706740336670 10060110505005 20120221010010