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22111201110020 = 225111573177512689
BaseRepresentation
bin1010000011100001010100…
…10010011010100000000100
32220021210212121211001012012
411001300222102122200010
510344232214441010040
6115005425012513352
74441324114250621
oct501605222324004
986253777731165
1022111201110020
117055342652740
12259137061b858
13c45100b37799
1456628b62d348
1528526a615865
hex141c2a49a804

22111201110020 has 192 divisors, whose sum is σ = 51225341690880. Its totient is φ = 7950458880000.

The previous prime is 22111201109993. The next prime is 22111201110067. The reversal of 22111201110020 is 2001110211122.

It is a junction number, because it is equal to n+sod(n) for n = 22111201109977 and 22111201110004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8222832836 + ... + 8222835524.

It is an arithmetic number, because the mean of its divisors is an integer number (266798654640).

Almost surely, 222111201110020 is an apocalyptic number.

22111201110020 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 22111201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25612670845440).

22111201110020 is an abundant number, since it is smaller than the sum of its proper divisors (29114140580860).

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

22111201110020 is a wasteful number, since it uses less digits than its factorization.

22111201110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22111201110020 its reverse (2001110211122), we get a palindrome (24112311321142).

The spelling of 22111201110020 in words is "twenty-two trillion, one hundred eleven billion, two hundred one million, one hundred ten thousand, twenty".