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11201359104 = 283111319
BaseRepresentation
bin10100110111010011…
…10010110100000000
31001220122100000000000
422123221302310000
5140420021442404
65051300000000
7544402660425
oct123351626400
931818300000
1011201359104
114828969981
122207390000
131096869450
14783927d4c
154585b6339
hex29ba72d00

11201359104 has 432 divisors, whose sum is σ = 38019217600. Its totient is φ = 3265173504.

The previous prime is 11201359079. The next prime is 11201359111. The reversal of 11201359104 is 40195310211.

It is a happy number.

11201359104 is a `hidden beast` number, since 1 + 1 + 201 + 359 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589545207 + ... + 589545225.

Almost surely, 211201359104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19009608800).

11201359104 is an abundant number, since it is smaller than the sum of its proper divisors (26817858496).

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

11201359104 is an frugal number, since it uses more digits than its factorization.

11201359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 11201359104 its reverse (40195310211), we get a palindrome (51396669315).

The spelling of 11201359104 in words is "eleven billion, two hundred one million, three hundred fifty-nine thousand, one hundred four".