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1112403110400 = 29335210693011
BaseRepresentation
bin10000001100000000011…
…001000110101000000000
310221100022021201001121000
4100030000121012220000
5121211200144013100
62211010403132000
7143240246266161
oct20140031065000
93840267631530
101112403110400
1139984961245a
1215b711674000
1380b8c60005a
143bbaa859768
151de097eb900
hex10300646a00

1112403110400 has 480 divisors, whose sum is σ = 4088236996800. Its totient is φ = 296264908800.

The previous prime is 1112403110389. The next prime is 1112403110419. The reversal of 1112403110400 is 40113042111.

1112403110400 is a `hidden beast` number, since 1 + 11 + 240 + 3 + 1 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369444895 + ... + 369447905.

It is an arithmetic number, because the mean of its divisors is an integer number (8517160410).

Almost surely, 21112403110400 is an apocalyptic number.

1112403110400 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 1112403110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044118498400).

1112403110400 is an abundant number, since it is smaller than the sum of its proper divisors (2975833886400).

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

1112403110400 is a wasteful number, since it uses less digits than its factorization.

1112403110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1112403110400 its reverse (40113042111), we get a palindrome (1152516152511).

The spelling of 1112403110400 in words is "one trillion, one hundred twelve billion, four hundred three million, one hundred ten thousand, four hundred".