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1132341120 = 27375809
BaseRepresentation
bin100001101111110…
…0010011110000000
32220220200220000000
41003133202132000
54304334403440
6304210000000
740026512031
oct10337423600
92826626000
101132341120
115311a4709
12277276000
13150795441
14aa55aa88
1569623730
hex437e2780

1132341120 has 256 divisors, whose sum is σ = 4064904000. Its totient is φ = 301584384.

The previous prime is 1132341113. The next prime is 1132341127. The reversal of 1132341120 is 211432311.

It is an interprime number because it is at equal distance from previous prime (1132341113) and next prime (1132341127).

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1132341093 and 1132341102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132341127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399276 + ... + 1400084.

Almost surely, 21132341120 is an apocalyptic number.

1132341120 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 1132341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032452000).

1132341120 is an abundant number, since it is smaller than the sum of its proper divisors (2932562880).

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

1132341120 is an frugal number, since it uses more digits than its factorization.

1132341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1132341120 is about 33650.2766704822. The cubic root of 1132341120 is about 1042.2992522727.

Adding to 1132341120 its reverse (211432311), we get a palindrome (1343773431).

The spelling of 1132341120 in words is "one billion, one hundred thirty-two million, three hundred forty-one thousand, one hundred twenty".