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1124100112 = 241723317737
BaseRepresentation
bin100001100000000…
…0110100000010000
32220100012012110111
41003000012200100
54300232200422
6303313211104
736566456542
oct10300064020
92810165414
101124100112
11527586063
12274560a94
1314bb6b3c5
14a9413692
1568a46a77
hex43006810

1124100112 has 40 divisors (see below), whose sum is σ = 2316086136. Its totient is φ = 526688256.

The previous prime is 1124100073. The next prime is 1124100119. The reversal of 1124100112 is 2110014211.

It can be written as a sum of positive squares in 4 ways, for example, as 351037696 + 773062416 = 18736^2 + 27804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1124100092 and 1124100101.

It is not an unprimeable number, because it can be changed into a prime (1124100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54508 + ... + 72244.

Almost surely, 21124100112 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 1124100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158043068).

1124100112 is an abundant number, since it is smaller than the sum of its proper divisors (1191986024).

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

1124100112 is a wasteful number, since it uses less digits than its factorization.

1124100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17995 (or 17989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1124100112 is about 33527.6022405420. The cubic root of 1124100112 is about 1039.7645275572.

Adding to 1124100112 its reverse (2110014211), we get a palindrome (3234114323).

The spelling of 1124100112 in words is "one billion, one hundred twenty-four million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 233 272 466 932 1864 3728 3961 7922 15844 17737 31688 35474 63376 70948 141896 283792 301529 603058 1206116 2412232 4132721 4824464 8265442 16530884 33061768 66123536 70256257 140512514 281025028 562050056 1124100112