Search a number
-
+
22001021021100 = 223521153609124363
BaseRepresentation
bin1010000000010100000110…
…00010101110101110101100
32212220021110222112121021010
411000022003002232232230
510340431042340133400
6114443043551105220
74430343545041602
oct500120302565654
985807428477233
1022001021021100
11701264288a110
122573b41512210
13c378c22353b4
14560bd856b872
1528246c7e8450
hex1402830aebac

22001021021100 has 144 divisors (see below), whose sum is σ = 69445076480640. Its totient is φ = 5333438476800.

The previous prime is 22001021021051. The next prime is 22001021021101. The reversal of 22001021021100 is 112012010022.

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

It is not an unprimeable number, because it can be changed into a prime (22001021021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176847519 + ... + 176971881.

It is an arithmetic number, because the mean of its divisors is an integer number (482257475560).

Almost surely, 222001021021100 is an apocalyptic number.

22001021021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001021021100 is an abundant number, since it is smaller than the sum of its proper divisors (47444055459540).

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

22001021021100 is a wasteful number, since it uses less digits than its factorization.

22001021021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178000 (or 177993 counting only the distinct ones).

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

Adding to 22001021021100 its reverse (112012010022), we get a palindrome (22113033031122).

The spelling of 22001021021100 in words is "twenty-two trillion, one billion, twenty-one million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 53609 107218 124363 160827 214436 248726 268045 321654 373089 497452 536090 589699 621815 643308 746178 804135 1072180 1179398 1243630 1340225 1367993 1492356 1608270 1769097 1865445 2358796 2487260 2680450 2735986 2948495 3109075 3216540 3538194 3730890 4020675 4103979 5360900 5471972 5896990 6218150 6839965 7076388 7461780 8041350 8207958 8845485 9327225 11793980 12436300 13679930 14742475 16082700 16415916 17690970 18654450 20519895 27359860 29484950 34199825 35381940 37308900 41039790 44227425 58969900 68399650 82079580 88454850 102599475 136799300 176909700 205198950 410397900 6666976067 13333952134 20000928201 26667904268 33334880335 40001856402 66669760670 73336736737 80003712804 100004641005 133339521340 146673473474 166674401675 200009282010 220010210211 293346946948 333348803350 366683683685 400018564020 440020420422 500023205025 666697606700 733367367370 880040840844 1000046410050 1100051051055 1466734734740 1833418418425 2000092820100 2200102102110 3666836836850 4400204204220 5500255255275 7333673673700 11000510510550 22001021021100