Search a number
-
+
220122210210100 = 2252112316811517547
BaseRepresentation
bin110010000011001100110010…
…001001011001000100110100
31001212101110220022011110222221
4302003030302021121010310
5212322440241303210400
62100054425232332124
764236206400104152
oct6203146211310464
91055343808143887
10220122210210100
116415733a0a9020
12208311aa9a4044
1395a95876249b3
143c4dd869623d2
151a6ad3ce62c1a
hexc83332259134

220122210210100 has 144 divisors (see below), whose sum is σ = 543778756932096. Its totient is φ = 76559544688000.

The previous prime is 220122210210053. The next prime is 220122210210107. The reversal of 220122210210100 is 1012012221022.

It is a happy number.

It is a super-2 number, since 2×2201222102101002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122210210107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 425059527 + ... + 425577073.

It is an arithmetic number, because the mean of its divisors is an integer number (3776241367584).

Almost surely, 2220122210210100 is an apocalyptic number.

220122210210100 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 220122210210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271889378466048).

220122210210100 is an abundant number, since it is smaller than the sum of its proper divisors (323656546721996).

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

220122210210100 is a wasteful number, since it uses less digits than its factorization.

220122210210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534406 (or 534399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220122210210100 its reverse (1012012221022), we get a palindrome (221134222431122).

The spelling of 220122210210100 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 16811 25300 33622 67244 84055 168110 184921 336220 369842 386653 420275 517547 739684 773306 840550 924605 1035094 1546612 1681100 1849210 1933265 2070188 2587735 3698420 3866530 4253183 4623025 5175470 5693017 7733060 8506366 9246050 9666325 10350940 11386034 11903581 12938675 17012732 18492100 19332650 21265915 22772068 23807162 25877350 28465085 38665300 42531830 47614324 51754700 56930170 59517905 85063660 106329575 113860340 119035810 130939391 142325425 212659150 238071620 261878782 284650850 297589525 425318300 523757564 569301700 595179050 654696955 1190358100 1309393910 2618787820 3273484775 6546969550 8700482617 13093939100 17400965234 34801930468 43502413085 87004826170 95705308787 174009652340 191410617574 200111100191 217512065425 382821235148 400222200382 435024130850 478526543935 800444400764 870048261700 957053087870 1000555500955 1914106175740 2001111001910 2201222102101 2392632719675 4002222003820 4402444204202 4785265439350 5002777504775 8804888408404 9570530878700 10005555009550 11006110510505 20011110019100 22012221021010 44024442042020 55030552552525 110061105105050 220122210210100