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1131909120 = 2123352389
BaseRepresentation
bin100001101110111…
…1001000000000000
32220212212221102000
41003131321000000
54304232042440
6304152424000
740023032406
oct10335710000
92825787360
101131909120
11530a2a091
122770a8000
13150673914
14aa487476
156958a730
hex43779000

1131909120 has 416 divisors, whose sum is σ = 4246214400. Its totient is φ = 285474816.

The previous prime is 1131909101. The next prime is 1131909151. The reversal of 1131909120 is 219091311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12718036 + ... + 12718124.

Almost surely, 21131909120 is an apocalyptic number.

1131909120 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 1131909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123107200).

1131909120 is an abundant number, since it is smaller than the sum of its proper divisors (3114305280).

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

1131909120 is an equidigital number, since it uses as much as digits as its factorization.

1131909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1131909120 is about 33643.8570915999. The cubic root of 1131909120 is about 1042.1666860514.

The spelling of 1131909120 in words is "one billion, one hundred thirty-one million, nine hundred nine thousand, one hundred twenty".