Search a number
-
+
22010011111000 = 2353112338587597
BaseRepresentation
bin1010000000100100110101…
…11001001100111001011000
32212221010200111222111011201
411000102122321030321120
510341103000321023000
6114451132020003544
74431112410406333
oct500223271147130
985833614874151
1022010011111000
117016436521780
1225758302305b4
13c386c5925a13
1456140c52361a
152827e6bb896a
hex14049ae4ce58

22010011111000 has 128 divisors (see below), whose sum is σ = 56426701930560. Its totient is φ = 7969289088000.

The previous prime is 22010011110953. The next prime is 22010011111009. The reversal of 22010011111000 is 11111001022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010011111009) 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 31 ways as a sum of consecutive naturals, for example, 1730799 + ... + 6856798.

Almost surely, 222010011111000 is an apocalyptic number.

22010011111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010011111000 is an abundant number, since it is smaller than the sum of its proper divisors (34416690819560).

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

22010011111000 is a wasteful number, since it uses less digits than its factorization.

22010011111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587862 (or 8587848 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 22010011111000 its reverse (11111001022), we get a palindrome (22021122112022).

The spelling of 22010011111000 in words is "twenty-two trillion, ten billion, eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 233 250 275 440 466 500 550 932 1000 1100 1165 1375 1864 2200 2330 2563 2750 4660 5126 5500 5825 9320 10252 11000 11650 12815 20504 23300 25630 29125 46600 51260 58250 64075 102520 116500 128150 233000 256300 320375 512600 640750 1281500 2563000 8587597 17175194 34350388 42937985 68700776 85875970 94463567 171751940 188927134 214689925 343503880 377854268 429379850 472317835 755708536 858759700 944635670 1073449625 1717519400 1889271340 2000910101 2146899250 2361589175 3778542680 4001820202 4293798500 4723178350 8003640404 8587597000 9446356700 10004550505 11807945875 16007280808 18892713400 20009101010 22010011111 23615891750 40018202020 44020022222 47231783500 50022752525 80036404040 88040044444 94463567000 100045505050 110050055555 176080088888 200091010100 220100111110 250113762625 400182020200 440200222220 500227525250 550250277775 880400444440 1000455050500 1100500555550 2000910101000 2201001111100 2751251388875 4402002222200 5502502777750 11005005555500 22010011111000