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11131232000 = 28537231229
BaseRepresentation
bin10100101110111100…
…10001111100000000
31001201202101011200212
422113132101330000
5140244043411000
65040312533252
7542561624300
oct122736217400
931652334625
1011131232000
1147a2321399
1221a79b1228
131085184b15
147784b1600
15452362c35
hex297791f00

11131232000 has 432 divisors, whose sum is σ = 33442456320. Its totient is φ = 3677184000.

The previous prime is 11131231999. The next prime is 11131232003. The reversal of 11131232000 is 23213111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131232003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48607886 + ... + 48608114.

Almost surely, 211131232000 is an apocalyptic number.

11131232000 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 11131232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721228160).

11131232000 is an abundant number, since it is smaller than the sum of its proper divisors (22311224320).

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

11131232000 is an equidigital number, since it uses as much as digits as its factorization.

11131232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11131232000 its reverse (23213111), we get a palindrome (11154445111).

The spelling of 11131232000 in words is "eleven billion, one hundred thirty-one million, two hundred thirty-two thousand".