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1130103000 = 233253132743
BaseRepresentation
bin100001101011100…
…0000000011011000
32220202111011212200
41003113000003120
54303301244000
6304050010200
740001500635
oct10327000330
92822434780
101130103000
1152aa06124
12276576960
13150190800
14aa13718c
1569330500
hex435c00d8

1130103000 has 288 divisors, whose sum is σ = 4141743840. Its totient is φ = 277804800.

The previous prime is 1130102993. The next prime is 1130103011. The reversal of 1130103000 is 3010311.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 1520629 + ... + 1521371.

It is an arithmetic number, because the mean of its divisors is an integer number (14381055).

Almost surely, 21130103000 is an apocalyptic number.

1130103000 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 1130103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070871920).

1130103000 is an abundant number, since it is smaller than the sum of its proper divisors (3011640840).

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

1130103000 is a wasteful number, since it uses less digits than its factorization.

1130103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1130103000 is about 33617.0046256355. The cubic root of 1130103000 is about 1041.6120831843.

Adding to 1130103000 its reverse (3010311), we get a palindrome (1133113311).

The spelling of 1130103000 in words is "one billion, one hundred thirty million, one hundred three thousand".