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1131123240 = 23325131012393
BaseRepresentation
bin100001101101011…
…1001001000101000
32220211102000101100
41003122321020220
54304031420430
6304123521400
740013250252
oct10332711050
92824360340
101131123240
115305426a5
12276989260
13150459cc0
14aa320cd2
1569482960
hex436b9228

1131123240 has 192 divisors, whose sum is σ = 3999799440. Its totient is φ = 275558400.

The previous prime is 1131123239. The next prime is 1131123251. The reversal of 1131123240 is 423211311.

It can be written as a sum of positive squares in 8 ways, for example, as 252237924 + 878885316 = 15882^2 + 29646^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 471484 + ... + 473876.

Almost surely, 21131123240 is an apocalyptic number.

1131123240 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 1131123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999899720).

1131123240 is an abundant number, since it is smaller than the sum of its proper divisors (2868676200).

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

1131123240 is a wasteful number, since it uses less digits than its factorization.

1131123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2517 counting only the distinct ones).

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

The square root of 1131123240 is about 33632.1756655736. The cubic root of 1131123240 is about 1041.9254394823.

Adding to 1131123240 its reverse (423211311), we get a palindrome (1554334551).

The spelling of 1131123240 in words is "one billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred forty".