Search a number
-
+
2124201003100 = 22521110119996079
BaseRepresentation
bin11110111010010100001…
…111110000100001011100
321112001221012221112022221
4132322110033300201130
5234300330424044400
64303502223315124
7306316452416641
oct36722417604134
97461835845287
102124201003100
117499610a77a0
122a382674baa4
13125407bb8b97
1474b51b0ddc8
153a3c6baec1a
hex1ee943f085c

2124201003100 has 144 divisors (see below), whose sum is σ = 5103923328000. Its totient is φ = 760937760000.

The previous prime is 2124201003097. The next prime is 2124201003101. The reversal of 2124201003100 is 13001024212.

It is a super-2 number, since 2×21242010031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124201003101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22060861 + ... + 22156939.

It is an arithmetic number, because the mean of its divisors is an integer number (35443912000).

Almost surely, 22124201003100 is an apocalyptic number.

2124201003100 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 2124201003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551961664000).

2124201003100 is an abundant number, since it is smaller than the sum of its proper divisors (2979722324900).

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

2124201003100 is a wasteful number, since it uses less digits than its factorization.

2124201003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96404 (or 96397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2124201003100 its reverse (13001024212), we get a palindrome (2137202027312).

The spelling of 2124201003100 in words is "two trillion, one hundred twenty-four billion, two hundred one million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 199 202 220 275 398 404 505 550 796 995 1010 1100 1111 1990 2020 2189 2222 2525 3980 4378 4444 4975 5050 5555 8756 9950 10100 10945 11110 19900 20099 21890 22220 27775 40198 43780 54725 55550 80396 96079 100495 109450 111100 192158 200990 218900 221089 384316 401980 442178 480395 502475 884356 960790 1004950 1056869 1105445 1921580 2009900 2113738 2210890 2401975 4227476 4421780 4803950 5284345 5527225 9607900 9703979 10568690 11054450 19119721 19407958 21137380 22108900 26421725 38239442 38815916 48519895 52843450 76478884 95598605 97039790 105686900 106743769 191197210 194079580 210316931 213487538 242599475 382394420 420633862 426975076 477993025 485198950 533718845 841267724 955986050 970397900 1051584655 1067437690 1911972100 1931091821 2103169310 2134875380 2668594225 3862183642 4206338620 5257923275 5337188450 7724367284 9655459105 10515846550 10674376900 19310918210 21031693100 21242010031 38621836420 42484020062 48277295525 84968040124 96554591050 106210050155 193109182100 212420100310 424840200620 531050250775 1062100501550 2124201003100