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1022111400200 = 235211547849353
BaseRepresentation
bin11101101111110101001…
…01100100000100001000
310121201020200220221022012
432313322211210010020
5113221241004301300
62101315042315052
7133562605360442
oct16677245440410
93551220827265
101022111400200
1136452526a160
12146113058a88
13755002232b7
1437682d05492
151b8c2a4c435
hexedfa964108

1022111400200 has 96 divisors (see below), whose sum is σ = 2597188635360. Its totient is φ = 370996953600.

The previous prime is 1022111400161. The next prime is 1022111400203. The reversal of 1022111400200 is 20041112201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1022111400203) 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 23 ways as a sum of consecutive naturals, for example, 778724 + ... + 1628076.

It is an arithmetic number, because the mean of its divisors is an integer number (27054048285).

Almost surely, 21022111400200 is an apocalyptic number.

1022111400200 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 1022111400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298594317680).

1022111400200 is an abundant number, since it is smaller than the sum of its proper divisors (1575077235160).

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

1022111400200 is a wasteful number, since it uses less digits than its factorization.

1022111400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849927 (or 849918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022111400200 its reverse (20041112201), we get a palindrome (1042152512401).

The spelling of 1022111400200 in words is "one trillion, twenty-two billion, one hundred eleven million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 547 550 1094 1100 2188 2200 2735 4376 5470 6017 10940 12034 13675 21880 24068 27350 30085 48136 54700 60170 109400 120340 150425 240680 300850 601700 849353 1203400 1698706 3397412 4246765 6794824 8493530 9342883 16987060 18685766 21233825 33974120 37371532 42467650 46714415 74743064 84935300 93428830 169870600 186857660 233572075 373715320 464596091 467144150 929192182 934288300 1858384364 1868576600 2322980455 3716768728 4645960910 5110557001 9291921820 10221114002 11614902275 18583843640 20442228004 23229804550 25552785005 40884456008 46459609100 51105570010 92919218200 102211140020 127763925025 204422280040 255527850050 511055700100 1022111400200