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1131131040 = 2535131710663
BaseRepresentation
bin100001101101011…
…1011000010100000
32220211102102002020
41003122323002200
54304032143130
6304124021440
740013312064
oct10332730240
92824372066
101131131040
11530548546
12276991880
13150460710
14aa323aa4
1569484e10
hex436bb0a0

1131131040 has 192 divisors, whose sum is σ = 4063239936. Its totient is φ = 262029312.

The previous prime is 1131131021. The next prime is 1131131063. The reversal of 1131131040 is 401311311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 100749 + ... + 111411.

It is an arithmetic number, because the mean of its divisors is an integer number (21162708).

Almost surely, 21131131040 is an apocalyptic number.

1131131040 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 1131131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031619968).

1131131040 is an abundant number, since it is smaller than the sum of its proper divisors (2932108896).

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

1131131040 is a wasteful number, since it uses less digits than its factorization.

1131131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10703 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1131131040 is about 33632.2916257575. The cubic root of 1131131040 is about 1041.9278344467.

Adding to 1131131040 its reverse (401311311), we get a palindrome (1532442351).

The spelling of 1131131040 in words is "one billion, one hundred thirty-one million, one hundred thirty-one thousand, forty".