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1130513120 = 255117183109
BaseRepresentation
bin100001101100010…
…0100001011100000
32220210021000110022
41003120210023200
54303402404440
6304102453012
740005126422
oct10330441340
92823230408
101130513120
11530166270
12276734168
131502a5399
14aa202812
15693b1cb5
hex436242e0

1130513120 has 192 divisors, whose sum is σ = 3017710080. Its totient is φ = 396748800.

The previous prime is 1130513081. The next prime is 1130513143. The reversal of 1130513120 is 213150311.

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, 10371626 + ... + 10371734.

It is an arithmetic number, because the mean of its divisors is an integer number (15717240).

Almost surely, 21130513120 is an apocalyptic number.

1130513120 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 1130513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508855040).

1130513120 is an abundant number, since it is smaller than the sum of its proper divisors (1887196960).

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

1130513120 is a wasteful number, since it uses less digits than its factorization.

1130513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1130513120 is about 33623.1039614132. The cubic root of 1130513120 is about 1041.7380700138.

Adding to 1130513120 its reverse (213150311), we get a palindrome (1343663431).

The spelling of 1130513120 in words is "one billion, one hundred thirty million, five hundred thirteen thousand, one hundred twenty".