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1141070112 = 253371323631
BaseRepresentation
bin100010000000011…
…0101100100100000
32221112010100221000
41010000311210200
54314103220422
6305121032000
740163636010
oct10400654440
92845110830
101141070112
11536116956
1227a185600
13152530620
14ab78dc40
156a299cac
hex44035920

1141070112 has 384 divisors, whose sum is σ = 4281016320. Its totient is φ = 287400960.

The previous prime is 1141070101. The next prime is 1141070159. The reversal of 1141070112 is 2110701411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808037 + ... + 1808667.

It is an arithmetic number, because the mean of its divisors is an integer number (11148480).

Almost surely, 21141070112 is an apocalyptic number.

1141070112 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 1141070112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140508160).

1141070112 is an abundant number, since it is smaller than the sum of its proper divisors (3139946208).

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

1141070112 is a wasteful number, since it uses less digits than its factorization.

1141070112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1141070112 is about 33779.7293061978. The cubic root of 1141070112 is about 1044.9706918514.

Adding to 1141070112 its reverse (2110701411), we get a palindrome (3251771523).

The spelling of 1141070112 in words is "one billion, one hundred forty-one million, seventy thousand, one hundred twelve".