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1141112070 = 233571943739
BaseRepresentation
bin100010000000011…
…1111110100000110
32221112012111111000
41010000333310012
54314111041240
6305121554130
740164202230
oct10400776406
92845174430
101141112070
1153614542a
1227a1a5946
13152546757
14ab7a1250
156a2a7430
hex4403fd06

1141112070 has 256 divisors, whose sum is σ = 3750912000. Its totient is φ = 241024896.

The previous prime is 1141112033. The next prime is 1141112083. The reversal of 1141112070 is 702111411.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1543761 + ... + 1544499.

It is an arithmetic number, because the mean of its divisors is an integer number (14652000).

Almost surely, 21141112070 is an apocalyptic number.

1141112070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141112070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875456000).

1141112070 is an abundant number, since it is smaller than the sum of its proper divisors (2609799930).

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

1141112070 is a wasteful number, since it uses less digits than its factorization.

1141112070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

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

The square root of 1141112070 is about 33780.3503534229. The cubic root of 1141112070 is about 1044.9834998120.

Adding to 1141112070 its reverse (702111411), we get a palindrome (1843223481).

The spelling of 1141112070 in words is "one billion, one hundred forty-one million, one hundred twelve thousand, seventy".