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11230032000 = 273531121269
BaseRepresentation
bin10100111010101110…
…01011000010000000
31001222122021201211010
422131113023002000
5140444342011000
65054202320520
7545201461035
oct123527130200
931878251733
1011230032000
114843073290
122214ab9140
13109c798365
1478766d38c
1545ad7bd50
hex29d5cb080

11230032000 has 256 divisors, whose sum is σ = 40613788800. Its totient is φ = 2722304000.

The previous prime is 11230031999. The next prime is 11230032001. The reversal of 11230032000 is 23003211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11230031999) and next prime (11230032001).

It is a super-2 number, since 2×112300320002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11230032001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517366 + ... + 538634.

Almost surely, 211230032000 is an apocalyptic number.

11230032000 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 11230032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306894400).

11230032000 is an abundant number, since it is smaller than the sum of its proper divisors (29383756800).

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

11230032000 is a wasteful number, since it uses less digits than its factorization.

11230032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21312 (or 21290 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11230032000 its reverse (23003211), we get a palindrome (11253035211).

The spelling of 11230032000 in words is "eleven billion, two hundred thirty million, thirty-two thousand".