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11231022400 = 265213678059
BaseRepresentation
bin10100111010110101…
…11100110101000000
31001222201011001101121
422131122330311000
5141000120204100
65054235442024
7545213054353
oct123532746500
931881131347
1011231022400
11484368a3a4
1222152b6314
13109ca540b0
1478784a29a
1545aec551a
hex29d6bcd40

11231022400 has 168 divisors, whose sum is σ = 30209073440. Its totient is φ = 4084439040.

The previous prime is 11231022391. The next prime is 11231022419. The reversal of 11231022400 is 422013211.

11231022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112310224002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389571 + ... + 1397629.

Almost surely, 211231022400 is an apocalyptic number.

11231022400 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 11231022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104536720).

11231022400 is an abundant number, since it is smaller than the sum of its proper divisors (18978051040).

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

11231022400 is a wasteful number, since it uses less digits than its factorization.

11231022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8161 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11231022400 its reverse (422013211), we get a palindrome (11653035611).

The spelling of 11231022400 in words is "eleven billion, two hundred thirty-one million, twenty-two thousand, four hundred".