Search a number
-
+
120100211121020 = 225132942137834703
BaseRepresentation
bin11011010011101100000010…
…011010111101101101111100
3120202020110122012200102210012
4123103230002122331231330
5111220210213021333040
61103233135245002352
734203645122515634
oct3323540232755574
9522213565612705
10120100211121020
11352a4239198699
12115782858533b8
13520252a8b85a0
142192c4a1696c4
15dd4137194865
hex6d3b026bdb7c

120100211121020 has 96 divisors (see below), whose sum is σ = 281644563352320. Its totient is φ = 42713865169920.

The previous prime is 120100211120993. The next prime is 120100211121067. The reversal of 120100211121020 is 20121112001021.

It is a super-2 number, since 2×1201002111210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120100211120986 and 120100211121004.

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, 15743012 + ... + 22091691.

It is an arithmetic number, because the mean of its divisors is an integer number (2933797534920).

Almost surely, 2120100211121020 is an apocalyptic number.

120100211121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100211121020 is an abundant number, since it is smaller than the sum of its proper divisors (161544352231300).

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

120100211121020 is a wasteful number, since it uses less digits than its factorization.

120100211121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37835175 (or 37835173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120100211121020 its reverse (20121112001021), we get a palindrome (140221323122041).

The spelling of 120100211121020 in words is "one hundred twenty trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 421 580 754 842 1508 1684 1885 2105 3770 4210 5473 7540 8420 10946 12209 21892 24418 27365 48836 54730 61045 109460 122090 158717 244180 317434 634868 793585 1587170 3174340 37834703 75669406 151338812 189173515 378347030 491851139 756694060 983702278 1097206387 1967404556 2194412774 2459255695 4388825548 4918511390 5486031935 9837022780 10972063870 14263683031 15928409963 21944127740 28527366062 31856819926 57054732124 63713639852 71318415155 79642049815 142636830310 159284099630 207069329519 285273660620 318568199260 414138659038 461923888927 828277318076 923847777854 1035346647595 1847695555708 2070693295190 2309619444635 4141386590380 4619238889270 6005010556051 9238477778540 12010021112102 24020042224204 30025052780255 60050105560510 120100211121020