Search a number
-
+
120100002020220 = 223559151992232157
BaseRepresentation
bin11011010011101011110101…
…111101010011101101111100
3120202020110002122020000102010
4123103223311331103231330
5111220204301004121340
61103233102415131220
734203640003265415
oct3323536575235574
9522213078200363
10120100002020220
11352a414115a112
1211578227813b10
1352024c6495ac1
142192c2a49880c
15dd4123b3db80
hex6d3af5f53b7c

120100002020220 has 96 divisors (see below), whose sum is σ = 342002320128000. Its totient is φ = 31481756792064.

The previous prime is 120100002020209. The next prime is 120100002020363. The reversal of 120100002020220 is 22020200001021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120100002020196 and 120100002020205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52688382 + ... + 54920538.

It is an arithmetic number, because the mean of its divisors is an integer number (3562524168000).

Almost surely, 2120100002020220 is an apocalyptic number.

120100002020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100002020220 is an abundant number, since it is smaller than the sum of its proper divisors (221902318107780).

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

120100002020220 is a wasteful number, since it uses less digits than its factorization.

120100002020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247427 (or 2247425 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120100002020220 its reverse (22020200001021), we get a palindrome (142120202021241).

The spelling of 120100002020220 in words is "one hundred twenty trillion, one hundred billion, two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 15199 30398 45597 60796 75995 91194 151990 182388 227985 303980 455970 896741 911940 1793482 2232157 2690223 3586964 4464314 4483705 5380446 6696471 8928628 8967410 10760892 11160785 13392942 13451115 17934820 22321570 26785884 26902230 33482355 44643140 53804460 66964710 131697263 133929420 263394526 395091789 526789052 658486315 790183578 1316972630 1580367156 1975458945 2633945260 3950917890 7901835780 33926554243 67853108486 101779662729 135706216972 169632771215 203559325458 339265542430 407118650916 508898313645 678531084860 1017796627290 2001666700337 2035593254580 4003333400674 6005000101011 8006666801348 10008333501685 12010000202022 20016667003370 24020000404044 30025000505055 40033334006740 60050001010110 120100002020220