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11221120200 = 23352101185167
BaseRepresentation
bin10100111001101010…
…01011010011001000
31001222000111222010110
422130311023103020
5140440101321300
65053243314320
7545032643103
oct123465132310
931860458113
1011221120200
114839036764
122211b1b9a0
13109a997bc4
147863cd73a
1545a1bb550
hex29cd4b4c8

11221120200 has 96 divisors (see below), whose sum is σ = 35130072960. Its totient is φ = 2962656000.

The previous prime is 11221120151. The next prime is 11221120223. The reversal of 11221120200 is 202112211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31984 + ... + 153183.

It is an arithmetic number, because the mean of its divisors is an integer number (365938260).

Almost surely, 211221120200 is an apocalyptic number.

11221120200 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 11221120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565036480).

11221120200 is an abundant number, since it is smaller than the sum of its proper divisors (23908952760).

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

11221120200 is a wasteful number, since it uses less digits than its factorization.

11221120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185287 (or 185278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221120200 its reverse (202112211), we get a palindrome (11423232411).

The spelling of 11221120200 in words is "eleven billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 185167 370334 555501 740668 925835 1111002 1481336 1851670 2222004 2777505 3703340 4444008 4629175 5555010 7406680 9258350 11110020 13887525 18516700 18701867 22220040 27775050 37033400 37403734 55550100 56105601 74807468 93509335 111100200 112211202 149614936 187018670 224422404 280528005 374037340 448844808 467546675 561056010 748074680 935093350 1122112020 1402640025 1870186700 2244224040 2805280050 3740373400 5610560100 11221120200