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1100331012 = 223113726089
BaseRepresentation
bin100000110010101…
…1011100000000100
32211200110121101110
41001211123200010
54223141043022
6301103525020
736160442064
oct10145334004
92750417343
101100331012
11515120a80
122685b9770
13146c68551
14a61c73a4
15668ee00c
hex4195b804

1100331012 has 72 divisors (see below), whose sum is σ = 2879059680. Its totient is φ = 324368640.

The previous prime is 1100331007. The next prime is 1100331047. The reversal of 1100331012 is 2101330011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 177664 + ... + 183752.

It is an arithmetic number, because the mean of its divisors is an integer number (39986940).

Almost surely, 21100331012 is an apocalyptic number.

1100331012 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 1100331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439529840).

1100331012 is an abundant number, since it is smaller than the sum of its proper divisors (1778728668).

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

1100331012 is a wasteful number, since it uses less digits than its factorization.

1100331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1100331012 is about 33171.2377218578. The cubic root of 1100331012 is about 1032.3836496493.

Adding to 1100331012 its reverse (2101330011), we get a palindrome (3201661023).

The spelling of 1100331012 in words is "one billion, one hundred million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1369 1628 2442 2738 4107 4884 5476 6089 8214 12178 15059 16428 18267 24356 30118 36534 45177 60236 66979 73068 90354 133958 180708 200937 225293 267916 401874 450586 675879 803748 901172 1351758 2478223 2703516 4956446 7434669 8335841 9912892 14869338 16671682 25007523 29738676 33343364 50015046 91694251 100030092 183388502 275082753 366777004 550165506 1100331012