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2041144000220 = 2251337727291853
BaseRepresentation
bin11101101100111101101…
…010011011111011011100
321020010112211112121202002
4131230331222123323130
5231420230331001340
64201404423421432
7300316310510333
oct35547552337334
97203484477662
102041144000220
1171770a637156
1228b706bb4878
1311a62c631b30
1470b12d70d1a
153816513c715
hex1db3da9bedc

2041144000220 has 96 divisors (see below), whose sum is σ = 4747423244928. Its totient is φ = 732273011712.

The previous prime is 2041144000219. The next prime is 2041144000271. The reversal of 2041144000220 is 220004411402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2041144000192 and 2041144000201.

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, 6847814 + ... + 7139666.

It is an arithmetic number, because the mean of its divisors is an integer number (49452325468).

Almost surely, 22041144000220 is an apocalyptic number.

2041144000220 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 2041144000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373711622464).

2041144000220 is an abundant number, since it is smaller than the sum of its proper divisors (2706279244708).

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

2041144000220 is a wasteful number, since it uses less digits than its factorization.

2041144000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292639 (or 292637 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2041144000220 its reverse (220004411402), we get a palindrome (2261148411622).

The spelling of 2041144000220 in words is "two trillion, forty-one billion, one hundred forty-four million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 727 740 962 1454 1924 2405 2908 3635 4810 7270 9451 9620 14540 18902 26899 37804 47255 53798 94510 107596 134495 189020 268990 291853 349687 537980 583706 699374 1167412 1398748 1459265 1748435 2918530 3496870 3794089 5837060 6993740 7588178 10798561 15176356 18970445 21597122 37940890 43194244 53992805 75881780 107985610 140381293 212177131 215971220 280762586 424354262 561525172 701906465 848708524 1060885655 1403812930 2121771310 2758302703 2807625860 4243542620 5516605406 7850553847 11033210812 13791513515 15701107694 27583027030 31402215388 39252769235 55166054060 78505538470 102057200011 157011076940 204114400022 408228800044 510286000055 1020572000110 2041144000220