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1124441112 = 2332310319777
BaseRepresentation
bin100001100000101…
…1001110000011000
32220100211112020010
41003001121300120
54300324103422
6303324401520
736602406654
oct10301316030
92810745203
101124441112
11527799283
122746a62a0
1314bc5a692
14a94a1a64
1568ab2b0c
hex43059c18

1124441112 has 64 divisors (see below), whose sum is σ = 2961953280. Its totient is φ = 355018752.

The previous prime is 1124441051. The next prime is 1124441117. The reversal of 1124441112 is 2111444211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124441117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46968 + ... + 66744.

It is an arithmetic number, because the mean of its divisors is an integer number (46280520).

Almost surely, 21124441112 is an apocalyptic number.

1124441112 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 1124441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480976640).

1124441112 is an abundant number, since it is smaller than the sum of its proper divisors (1837512168).

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

1124441112 is a wasteful number, since it uses less digits than its factorization.

1124441112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19908 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 1124441112 is about 33532.6872171021. The cubic root of 1124441112 is about 1039.8696557552.

Adding to 1124441112 its reverse (2111444211), we get a palindrome (3235885323).

The spelling of 1124441112 in words is "one billion, one hundred twenty-four million, four hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 103 138 184 206 276 309 412 552 618 824 1236 2369 2472 4738 7107 9476 14214 18952 19777 28428 39554 56856 59331 79108 118662 158216 237324 454871 474648 909742 1364613 1819484 2037031 2729226 3638968 4074062 5458452 6111093 8148124 10916904 12222186 16296248 24444372 46851713 48888744 93703426 140555139 187406852 281110278 374813704 562220556 1124441112