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11221022000 = 245343130477
BaseRepresentation
bin10100111001101001…
…10011010100110000
31001222000022222102102
422130310303110300
5140440040201000
65053241235532
7545032053566
oct123464632460
931860288372
1011221022000
114838a79a01
122211a92ba8
13109a9622b6
147863a5a36
1545a19c3d5
hex29cd33530

11221022000 has 80 divisors (see below), whose sum is σ = 27763630752. Its totient is φ = 4383993600.

The previous prime is 11221021991. The next prime is 11221022051. The reversal of 11221022000 is 22012211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112210220002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20762 + ... + 151238.

Almost surely, 211221022000 is an apocalyptic number.

11221022000 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 11221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881815376).

11221022000 is an abundant number, since it is smaller than the sum of its proper divisors (16542608752).

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

11221022000 is a wasteful number, since it uses less digits than its factorization.

11221022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130543 (or 130527 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11221022000 its reverse (22012211), we get a palindrome (11243034211).

The spelling of 11221022000 in words is "eleven billion, two hundred twenty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 43000 86000 130477 260954 521908 652385 1043816 1304770 2087632 2609540 3261925 5219080 5610511 6523850 10438160 11221022 13047700 16309625 22442044 26095400 28052555 32619250 44884088 52190800 56105110 65238500 89768176 112210220 130477000 140262775 224420440 260954000 280525550 448840880 561051100 701313875 1122102200 1402627750 2244204400 2805255500 5610511000 11221022000