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1114250112 = 27323141761
BaseRepresentation
bin100001001101010…
…0001101110000000
32212122122202210200
41002122201232000
54240222000422
6302322125200
736416653413
oct10232415600
92778582720
101114250112
11521a68668
122711b0800
13149accbc1
14a7dabb7a
1567c4d2ac
hex426a1b80

1114250112 has 192 divisors, whose sum is σ = 3394984320. Its totient is φ = 350208000.

The previous prime is 1114250107. The next prime is 1114250113. The reversal of 1114250112 is 2110524111.

1114250112 is a `hidden beast` number, since 11 + 142 + 501 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114250113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1463812 + ... + 1464572.

It is an arithmetic number, because the mean of its divisors is an integer number (17682210).

Almost surely, 21114250112 is an apocalyptic number.

1114250112 is a gapful number since it is divisible by the number (12) 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 1114250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697492160).

1114250112 is an abundant number, since it is smaller than the sum of its proper divisors (2280734208).

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

1114250112 is a wasteful number, since it uses less digits than its factorization.

1114250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1114250112 is about 33380.3851385810. The cubic root of 1114250112 is about 1036.7186121527.

Adding to 1114250112 its reverse (2110524111), we get a palindrome (3224774223).

The spelling of 1114250112 in words is "one billion, one hundred fourteen million, two hundred fifty thousand, one hundred twelve".