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1123121124 = 223231197809
BaseRepresentation
bin100001011110001…
…0111011111100100
32220021100110112200
41002330113133210
54300004333444
6303240214500
736555241416
oct10274273744
92807313480
101123121124
11526a77584
1227416a430
1314b8b7918
14a923a9b6
1568901969
hex42f177e4

1123121124 has 18 divisors (see below), whose sum is σ = 2839000710. Its totient is φ = 374373696.

The previous prime is 1123121123. The next prime is 1123121143. The reversal of 1123121124 is 4211213211.

It can be written as a sum of positive squares in only one way, i.e., 889948224 + 233172900 = 29832^2 + 15270^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×11231211242 = 2522802118350046752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1123121097 and 1123121106.

It is not an unprimeable number, because it can be changed into a prime (1123121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15598869 + ... + 15598940.

Almost surely, 21123121124 is an apocalyptic number.

It is an amenable number.

1123121124 is an abundant number, since it is smaller than the sum of its proper divisors (1715879586).

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

1123121124 is a wasteful number, since it uses less digits than its factorization.

1123121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31197819 (or 31197814 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1123121124 is about 33512.9993286187. Note that the first 3 decimals coincide. The cubic root of 1123121124 is about 1039.4625934051.

Adding to 1123121124 its reverse (4211213211), we get a palindrome (5334334335).

The spelling of 1123121124 in words is "one billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 31197809 62395618 93593427 124791236 187186854 280780281 374373708 561560562 1123121124