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1071097120 = 255233141229
BaseRepresentation
bin111111110101111…
…010010100100000
32202122110101000201
4333311322110200
54143200101440
6254141154544
735354114062
oct7765722440
92678411021
101071097120
114aa674135
1225a85ba54
13140ba11a2
14a2377732
156407719a
hex3fd7a520

1071097120 has 192 divisors, whose sum is σ = 2804336640. Its totient is φ = 385228800.

The previous prime is 1071097117. The next prime is 1071097141. The reversal of 1071097120 is 217901701.

It is a super-2 number, since 2×10710971202 = 2294498080944588800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4677166 + ... + 4677394.

It is an arithmetic number, because the mean of its divisors is an integer number (14605920).

Almost surely, 21071097120 is an apocalyptic number.

1071097120 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 1071097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402168320).

1071097120 is an abundant number, since it is smaller than the sum of its proper divisors (1733239520).

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

1071097120 is a wasteful number, since it uses less digits than its factorization.

1071097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 28.

The square root of 1071097120 is about 32727.6201395702. The cubic root of 1071097120 is about 1023.1585800355.

Adding to 1071097120 its reverse (217901701), we get a palindrome (1288998821).

The spelling of 1071097120 in words is "one billion, seventy-one million, ninety-seven thousand, one hundred twenty".