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11112254400 = 2635213374813
BaseRepresentation
bin10100101100101011…
…11000101111000000
31001200102200000022210
422112111320233000
5140224214120100
65034354102120
7542241414102
oct122625705700
931612600283
1011112254400
11479263a225
1221a157a940
13108126bb80
14775b71572
15450864c50
hex296578bc0

11112254400 has 336 divisors, whose sum is σ = 40331383904. Its totient is φ = 2660843520.

The previous prime is 11112254341. The next prime is 11112254401. The reversal of 11112254400 is 445221111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112254401) 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, 2306394 + ... + 2311206.

Almost surely, 211112254400 is an apocalyptic number.

11112254400 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 11112254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165691952).

11112254400 is an abundant number, since it is smaller than the sum of its proper divisors (29219129504).

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

11112254400 is a wasteful number, since it uses less digits than its factorization.

11112254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 11112254400 its reverse (445221111), we get a palindrome (11557475511).

The spelling of 11112254400 in words is "eleven billion, one hundred twelve million, two hundred fifty-four thousand, four hundred".