Search a number
-
+
120020011310100 = 2235211172139394141
BaseRepresentation
bin11011010010100001010110…
…001000111101110000010100
3120201221210121221120220201210
4123102201112020331300110
5111212401440343410400
61103132233152421420
734165105523415126
oct3322412610756024
9521853557526653
10120020011310100
1135273223518720
1211564822b47870
1351c7ab9264575
14218cddca5b216
15dd1ee13a7950
hex6d285623dc14

120020011310100 has 144 divisors (see below), whose sum is σ = 401110728895296. Its totient is φ = 27384244992000.

The previous prime is 120020011310027. The next prime is 120020011310113. The reversal of 120020011310100 is 1013110020021.

It is a super-2 number, since 2×1200200113101002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069640971 + ... + 1069753170.

It is an arithmetic number, because the mean of its divisors is an integer number (2785491172884).

Almost surely, 2120020011310100 is an apocalyptic number.

120020011310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020011310100 is an abundant number, since it is smaller than the sum of its proper divisors (281090717585196).

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

120020011310100 is a wasteful number, since it uses less digits than its factorization.

120020011310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139394186 (or 2139394179 counting only the distinct ones).

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

Adding to 120020011310100 its reverse (1013110020021), we get a palindrome (121033121330121).

The spelling of 120020011310100 in words is "one hundred twenty trillion, twenty billion, eleven million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 2139394141 4278788282 6418182423 8557576564 10696970705 12836364846 21393941410 23533335551 25672729692 32090912115 36369700397 42787882820 47066671102 53484853525 64181824230 70600006653 72739400794 94133342204 106969707050 109109101191 117666677755 128363648460 141200013306 145478801588 160454560575 181848501985 213939414100 218218202382 235333355510 282400026612 320909121150 353000033265 363697003970 400066704367 436436404764 470666711020 545545505955 588333388775 641818242300 706000066530 727394007940 800133408734 909242509925 1091091011910 1176666777550 1200200113101 1412000133060 1600266817468 1765000166325 1818485019850 2000333521835 2182182023820 2353333555100 2400400226202 2727727529775 3530000332650 3636970039700 4000667043670 4800800452404 5455455059550 6001000565505 7060000665300 8001334087340 10001667609175 10910910119100 12002001131010 20003335218350 24004002262020 30005002827525 40006670436700 60010005655050 120020011310100