Search a number
-
+
122221100100 = 2235211163227219
BaseRepresentation
bin111000111010011110…
…0011111110001000100
3102200110210120012001010
41301310330133301010
54000302100200400
6132051514202220
711554516131621
oct1616474376104
9380423505033
10122221100100
1147919696540
121b82b723370
13b6aa3c5a98
145cb6317348
1532a4e8e450
hex1c74f1fc44

122221100100 has 144 divisors (see below), whose sum is σ = 388142657280. Its totient is φ = 29447452800.

The previous prime is 122221100093. The next prime is 122221100137. The reversal of 122221100100 is 1001122221.

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

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, 424291 + ... + 651509.

It is an arithmetic number, because the mean of its divisors is an integer number (2695435120).

Almost surely, 2122221100100 is an apocalyptic number.

122221100100 is a gapful number since it is divisible by the number (10) 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 122221100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194071328640).

122221100100 is an abundant number, since it is smaller than the sum of its proper divisors (265921557180).

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

122221100100 is a wasteful number, since it uses less digits than its factorization.

122221100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227410 (or 227403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122221100100 its reverse (1001122221), we get a palindrome (123222222321).

The spelling of 122221100100 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 163 165 220 275 300 326 330 489 550 652 660 815 825 978 1100 1630 1650 1793 1956 2445 3260 3300 3586 4075 4890 5379 7172 8150 8965 9780 10758 12225 16300 17930 21516 24450 26895 35860 44825 48900 53790 89650 107580 134475 179300 227219 268950 454438 537900 681657 908876 1136095 1363314 2272190 2499409 2726628 3408285 4544380 4998818 5680475 6816570 7498227 9997636 11360950 12497045 13633140 14996454 17041425 22721900 24994090 29992908 34082850 37036697 37491135 49988180 62485225 68165700 74073394 74982270 111110091 124970450 148146788 149964540 185183485 187455675 222220182 249940900 370366970 374911350 407403667 444440364 555550455 740733940 749822700 814807334 925917425 1111100910 1222211001 1629614668 1851834850 2037018335 2222201820 2444422002 2777752275 3703669700 4074036670 4888844004 5555504550 6111055005 8148073340 10185091675 11111009100 12222110010 20370183350 24444220020 30555275025 40740366700 61110550050 122221100100