Search a number
-
+
120020211000 = 2334531481731
BaseRepresentation
bin110111111000111000…
…0110001010100111000
3102110210102012102210000
41233301300301110320
53431300133223000
6131045253353000
711446132650414
oct1576160612470
9373712172700
10120020211000
114699a309a28
121b316638760
13b419442841
145b47cc7d44
1531c6b49000
hex1bf1c31538

120020211000 has 160 divisors (see below), whose sum is σ = 419537598480. Its totient is φ = 32005368000.

The previous prime is 120020210957. The next prime is 120020211107. The reversal of 120020211000 is 112020021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659866 + ... + 821865.

Almost surely, 2120020211000 is an apocalyptic number.

120020211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020211000 is an abundant number, since it is smaller than the sum of its proper divisors (299517387480).

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

120020211000 is a wasteful number, since it uses less digits than its factorization.

120020211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481764 (or 1481741 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120020211000 its reverse (112020021), we get a palindrome (120132231021).

The spelling of 120020211000 in words is "one hundred twenty billion, twenty million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 1481731 2963462 4445193 5926924 7408655 8890386 11853848 13335579 14817310 17780772 22225965 26671158 29634620 35561544 37043275 40006737 44451930 53342316 59269240 66677895 74086550 80013474 88903860 106684632 111129825 120020211 133355790 148173100 160026948 177807720 185216375 200033685 222259650 240040422 266711580 296346200 320053896 333389475 370432750 400067370 444519300 480080844 533423160 555649125 600101055 666778950 740865500 800134740 889038600 960161688 1000168425 1111298250 1200202110 1333557900 1481731000 1600269480 1666947375 2000336850 2222596500 2400404220 2667115800 3000505275 3333894750 4000673700 4445193000 4800808440 5000842125 6001010550 6667789500 8001347400 10001684250 12002021100 13335579000 15002526375 20003368500 24004042200 30005052750 40006737000 60010105500 120020211000