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1050112000 = 212537293
BaseRepresentation
bin111110100101110…
…111000000000000
32201011222012212001
4332211313000000
54122312041000
6252111313344
735010543010
oct7645670000
92634865761
101050112000
11499840763
1225381b854
13139734562
149d673c40
15622ce46a
hex3e977000

1050112000 has 208 divisors, whose sum is σ = 3005376192. Its totient is φ = 358809600.

The previous prime is 1050111983. The next prime is 1050112013. The reversal of 1050112000 is 2110501.

It is a happy number.

It is a super-2 number, since 2×10501120002 = 2205470425088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 15 ways as a sum of consecutive naturals, for example, 3583854 + ... + 3584146.

It is an arithmetic number, because the mean of its divisors is an integer number (14448924).

Almost surely, 21050112000 is an apocalyptic number.

1050112000 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 1050112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502688096).

1050112000 is an abundant number, since it is smaller than the sum of its proper divisors (1955264192).

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

1050112000 is an frugal number, since it uses more digits than its factorization.

1050112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 1050112000 is about 32405.4316434761. The cubic root of 1050112000 is about 1016.4324940671.

Adding to 1050112000 its reverse (2110501), we get a palindrome (1052222501).

It can be divided in two parts, 1050 and 112000, that added together give a triangular number (113050 = T475).

The spelling of 1050112000 in words is "one billion, fifty million, one hundred twelve thousand".