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1131013440 = 26325499787
BaseRepresentation
bin100001101101001…
…1110010101000000
32220211012102202200
41003122132111000
54304014412230
6304121313200
740012312164
oct10332362500
92824172680
101131013440
11530478157
12276935800
1315041c02b
14aa2d2ca4
1569460160
hex4369e540

1131013440 has 168 divisors, whose sum is σ = 3902964000. Its totient is φ = 300616704.

The previous prime is 1131013409. The next prime is 1131013441. The reversal of 1131013440 is 443101311.

1131013440 is a `hidden beast` number, since 11 + 310 + 1 + 344 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1436727 + ... + 1437513.

Almost surely, 21131013440 is an apocalyptic number.

1131013440 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 1131013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951482000).

1131013440 is an abundant number, since it is smaller than the sum of its proper divisors (2771950560).

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

1131013440 is a wasteful number, since it uses less digits than its factorization.

1131013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

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

The square root of 1131013440 is about 33630.5432605541. The cubic root of 1131013440 is about 1041.8917245839.

Adding to 1131013440 its reverse (443101311), we get a palindrome (1574114751).

The spelling of 1131013440 in words is "one billion, one hundred thirty-one million, thirteen thousand, four hundred forty".