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1131491712 = 273131767199
BaseRepresentation
bin100001101110001…
…0011000110000000
32220212002201211110
41003130103012000
54304130213322
6304135443320
740016343441
oct10334230600
92825081743
101131491712
1153077451a
12276b26540
13150558930
14aa3b92c8
1569506c0c
hex43713180

1131491712 has 256 divisors, whose sum is σ = 3495744000. Its totient is φ = 321159168.

The previous prime is 1131491689. The next prime is 1131491717. The reversal of 1131491712 is 2171941311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131491712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131491717) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5685789 + ... + 5685987.

It is an arithmetic number, because the mean of its divisors is an integer number (13655250).

Almost surely, 21131491712 is an apocalyptic number.

1131491712 is a gapful number since it is divisible by the number (12) 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 1131491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).

1131491712 is an abundant number, since it is smaller than the sum of its proper divisors (2364252288).

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

1131491712 is a wasteful number, since it uses less digits than its factorization.

1131491712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its digits is 1512, while the sum is 30.

The square root of 1131491712 is about 33637.6531880570. The cubic root of 1131491712 is about 1042.0385655786.

The spelling of 1131491712 in words is "one billion, one hundred thirty-one million, four hundred ninety-one thousand, seven hundred twelve".