Search a number
-
+
2220121101100 = 225272805356263
BaseRepresentation
bin100000010011101001100…
…001111001001100101100
321212020112001112101012011
4200103221201321030230
5242333302000213400
64415524244051004
7316253445664300
oct40235141711454
97766461471164
102220121101100
11786603535061
122ba336093a64
1313148337c316
1479650d7bd00
153cb3cb3e8ba
hex204e987932c

2220121101100 has 108 divisors (see below), whose sum is σ = 5605015516464. Its totient is φ = 761076328320.

The previous prime is 2220121101071. The next prime is 2220121101101. The reversal of 2220121101100 is 11011210222.

It is not an unprimeable number, because it can be changed into a prime (2220121101101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39431569 + ... + 39487831.

Almost surely, 22220121101100 is an apocalyptic number.

2220121101100 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 2220121101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802507758232).

2220121101100 is an abundant number, since it is smaller than the sum of its proper divisors (3384894415364).

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

2220121101100 is a wasteful number, since it uses less digits than its factorization.

2220121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64344 (or 64330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2220121101100 its reverse (11011210222), we get a palindrome (2231132311322).

The spelling of 2220121101100 in words is "two trillion, two hundred twenty billion, one hundred twenty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 8053 16106 32212 40265 56263 56371 80530 112526 112742 161060 201325 225052 225484 281315 281855 393841 394597 402650 562630 563710 787682 789194 805300 1125260 1127420 1406575 1409275 1575364 1578388 1969205 1972985 2756887 2813150 2818550 3938410 3945970 5513774 5626300 5637100 7876820 7891940 9846025 9864925 11027548 13784435 19692050 19729850 27568870 39384100 39459700 55137740 68922175 137844350 275688700 453085939 906171878 1812343756 2265429695 3171601573 4530859390 6343203146 9061718780 11327148475 12686406292 15858007865 22201211011 22654296950 31716015730 44402422022 45308593900 63432031460 79290039325 88804844044 111006055055 158580078650 222012110110 317160157300 444024220220 555030275275 1110060550550 2220121101100