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1131305032 = 2311131039601
BaseRepresentation
bin100001101101110…
…0101100001001000
32220211202020202101
41003123211201020
54304103230112
6304131443144
740014635254
oct10333454110
92824666671
101131305032
11530657240
12276a564b4
131504c1980
14aa36b264
15694bb757
hex436e5848

1131305032 has 64 divisors (see below), whose sum is σ = 2516492160. Its totient is φ = 470016000.

The previous prime is 1131305027. The next prime is 1131305047. The reversal of 1131305032 is 2305031311.

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 15 ways as a sum of consecutive naturals, for example, 113032 + ... + 122632.

It is an arithmetic number, because the mean of its divisors is an integer number (39320190).

Almost surely, 21131305032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131305032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258246080).

1131305032 is an abundant number, since it is smaller than the sum of its proper divisors (1385187128).

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

1131305032 is a wasteful number, since it uses less digits than its factorization.

1131305032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9734 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1131305032 is about 33634.8782070041. The cubic root of 1131305032 is about 1041.9812552579.

Adding to 1131305032 its reverse (2305031311), we get a palindrome (3436336343).

The spelling of 1131305032 in words is "one billion, one hundred thirty-one million, three hundred five thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 143 206 286 412 572 824 1133 1144 1339 2266 2678 4532 5356 9064 9601 10712 14729 19202 29458 38404 58916 76808 105611 117832 124813 211222 249626 422444 499252 844888 988903 998504 1372943 1977806 2745886 3955612 5491772 7911224 10877933 10983544 12855739 21755866 25711478 43511732 51422956 87023464 102845912 141413129 282826258 565652516 1131305032