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1123120134 = 233194126699
BaseRepresentation
bin100001011110001…
…0111010000000110
32220021100102012000
41002330113100012
54300004321014
6303240210130
736555235503
oct10274272006
92807312160
101123120134
11526a76864
12274169946
1314b8b7336
14a923a4aa
1568901509
hex42f17406

1123120134 has 64 divisors (see below), whose sum is σ = 2691360000. Its totient is φ = 346006080.

The previous prime is 1123120133. The next prime is 1123120151. The reversal of 1123120134 is 4310213211.

It is a super-2 number, since 2×11231201342 = 2522797670792355912, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123120133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28717 + ... + 55415.

It is an arithmetic number, because the mean of its divisors is an integer number (42052500).

Almost surely, 21123120134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123120134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345680000).

1123120134 is an abundant number, since it is smaller than the sum of its proper divisors (1568239866).

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

1123120134 is a wasteful number, since it uses less digits than its factorization.

1123120134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26770 (or 26764 counting only the distinct ones).

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

The square root of 1123120134 is about 33512.9845582276. The cubic root of 1123120134 is about 1039.4622879859.

Adding to 1123120134 its reverse (4310213211), we get a palindrome (5433333345).

The spelling of 1123120134 in words is "one billion, one hundred twenty-three million, one hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 369 513 738 779 1026 1107 1558 2214 2337 4674 7011 14022 21033 26699 42066 53398 80097 160194 240291 480582 507281 720873 1014562 1094659 1441746 1521843 2189318 3043686 3283977 4565529 6567954 9131058 9851931 13696587 19703862 20798521 27393174 29555793 41597042 59111586 62395563 124791126 187186689 374373378 561560067 1123120134