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20330222301100 = 22524717930897823
BaseRepresentation
bin1001001111101011111111…
…01011011010111110101100
32122222112212010222111120001
410213311333223122332230
510131042243402113400
6111123324124034044
74165544601202255
oct447657753327654
978875763874501
1020330222301100
116528aa9532488
122344172392924
13b4619356c63a
14503db9153b2c
15253c80930a6a
hex127d7fadafac

20330222301100 has 144 divisors (see below), whose sum is σ = 45327398860800. Its totient is φ = 7911028126720.

The previous prime is 20330222301097. The next prime is 20330222301101. The reversal of 20330222301100 is 110322203302.

It is a super-2 number, since 2×203302223011002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20330222301101) 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, 2598771789 + ... + 2598779611.

It is an arithmetic number, because the mean of its divisors is an integer number (314773603200).

Almost surely, 220330222301100 is an apocalyptic number.

20330222301100 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 20330222301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663699430400).

20330222301100 is an abundant number, since it is smaller than the sum of its proper divisors (24997176559700).

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

20330222301100 is a wasteful number, since it uses less digits than its factorization.

20330222301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20330222301100 its reverse (110322203302), we get a palindrome (20440544504402).

The spelling of 20330222301100 in words is "twenty trillion, three hundred thirty billion, two hundred twenty-two million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 179 188 235 358 470 716 895 940 1175 1790 2350 3089 3580 4475 4700 6178 7823 8413 8950 12356 15445 15646 16826 17900 30890 31292 33652 39115 42065 61780 77225 78230 84130 145183 154450 156460 168260 195575 210325 290366 308900 367681 391150 420650 552931 580732 725915 735362 782300 841300 1105862 1400317 1451830 1470724 1838405 2211724 2764655 2800634 2903660 3629575 3676810 5529310 5601268 7001585 7259150 7353620 9192025 11058620 13823275 14003170 14518300 18384050 24165247 25987757 27646550 28006340 35007925 36768100 48330494 51975514 55293100 65814899 70015850 96660988 103951028 120826235 129938785 131629798 140031700 241652470 259877570 263259596 329074495 483304940 519755140 604131175 649693925 658148990 1135766609 1208262350 1299387850 1316297980 1645372475 2271533218 2416524700 2598775700 3290744950 4325579213 4543066436 5678833045 6581489900 8651158426 11357666090 17302316852 21627896065 22715332180 28394165225 43255792130 56788330450 86511584260 108139480325 113576660900 203302223011 216278960650 406604446022 432557921300 813208892044 1016511115055 2033022230110 4066044460220 5082555575275 10165111150550 20330222301100