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11230387200 = 210325279617
BaseRepresentation
bin10100111010110001…
…00001110000000000
31001222122221210001200
422131120201300000
5140444434342300
65054214101200
7545204500434
oct123530416000
931878853050
1011230387200
11484329613a
12221504a800
13109c890c36
147877229c4
1545adec200
hex29d621c00

11230387200 has 396 divisors, whose sum is σ = 40785083040. Its totient is φ = 2952069120.

The previous prime is 11230387183. The next prime is 11230387229. The reversal of 11230387200 is 278303211.

It is a super-2 number, since 2×112303872002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18201292 + ... + 18201908.

Almost surely, 211230387200 is an apocalyptic number.

11230387200 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 11230387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392541520).

11230387200 is an abundant number, since it is smaller than the sum of its proper divisors (29554695840).

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

11230387200 is a wasteful number, since it uses less digits than its factorization.

11230387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11230387200 in words is "eleven billion, two hundred thirty million, three hundred eighty-seven thousand, two hundred".