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1311132440 = 23541799471
BaseRepresentation
bin100111000100110…
…0100101100011000
310101101010102120202
41032021210230120
510141122214230
6334034041332
744330304362
oct11611445430
93341112522
101311132440
11613111232
12307119248
1317b835117
14c61bbd32
157a18da45
hex4e264b18

1311132440 has 32 divisors (see below), whose sum is σ = 3022004160. Its totient is φ = 511660800.

The previous prime is 1311132437. The next prime is 1311132451. The reversal of 1311132440 is 442311131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 398096 + ... + 401375.

It is an arithmetic number, because the mean of its divisors is an integer number (94437630).

Almost surely, 21311132440 is an apocalyptic number.

1311132440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311132440 is an abundant number, since it is smaller than the sum of its proper divisors (1710871720).

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

1311132440 is a wasteful number, since it uses less digits than its factorization.

1311132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799523 (or 799519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1311132440 is about 36209.5628253090. The cubic root of 1311132440 is about 1094.4993826501.

Adding to 1311132440 its reverse (442311131), we get a palindrome (1753443571).

The spelling of 1311132440 in words is "one billion, three hundred eleven million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 799471 1598942 3197884 3997355 6395768 7994710 15989420 31978840 32778311 65556622 131113244 163891555 262226488 327783110 655566220 1311132440