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1093820112 = 243471197113
BaseRepresentation
bin100000100110010…
…0101111011010000
32211020012211010000
41001030211323100
54220004220422
6300312210000
736051213630
oct10114457320
92736184100
101093820112
11511484270
12266399900
131457c8b48
14a53b06c0
1566064cac
hex41325ed0

1093820112 has 400 divisors, whose sum is σ = 4022992512. Its totient is φ = 278691840.

The previous prime is 1093820083. The next prime is 1093820113. The reversal of 1093820112 is 2110283901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093820113) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9679768 + ... + 9679880.

Almost surely, 21093820112 is an apocalyptic number.

1093820112 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 1093820112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011496256).

1093820112 is an abundant number, since it is smaller than the sum of its proper divisors (2929172400).

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

1093820112 is a wasteful number, since it uses less digits than its factorization.

1093820112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1093820112 is about 33072.9513651262. The cubic root of 1093820112 is about 1030.3433398383.

The spelling of 1093820112 in words is "one billion, ninety-three million, eight hundred twenty thousand, one hundred twelve".