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1124022112 = 25376179197
BaseRepresentation
bin100001011111111…
…0011011101100000
32220100001020110121
41002333303131200
54300222201422
6303311410024
736566013253
oct10277633540
92810036417
101124022112
115275324a4
12274523914
1314bb41a55
14a93d309a
1568a2d8c7
hex42ff3760

1124022112 has 96 divisors (see below), whose sum is σ = 2351099520. Its totient is φ = 528353280.

The previous prime is 1124022091. The next prime is 1124022131. The reversal of 1124022112 is 2112204211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5705598 + ... + 5705794.

It is an arithmetic number, because the mean of its divisors is an integer number (24490620).

Almost surely, 21124022112 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 1124022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175549760).

1124022112 is an abundant number, since it is smaller than the sum of its proper divisors (1227077408).

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

1124022112 is a wasteful number, since it uses less digits than its factorization.

1124022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1124022112 is about 33526.4389996910. The cubic root of 1124022112 is about 1039.7404776503.

Adding to 1124022112 its reverse (2112204211), we get a palindrome (3236226323).

The spelling of 1124022112 in words is "one billion, one hundred twenty-four million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 61 74 79 122 148 158 197 244 296 316 394 488 592 632 788 976 1184 1264 1576 1952 2257 2528 2923 3152 4514 4819 5846 6304 7289 9028 9638 11692 12017 14578 15563 18056 19276 23384 24034 29156 31126 36112 38552 46768 48068 58312 62252 72224 77104 93536 96136 116624 124504 154208 178303 192272 233248 249008 356606 384544 444629 498016 575831 713212 889258 949343 1151662 1426424 1778516 1898686 2303324 2852848 3557032 3797372 4606648 5705696 7114064 7594744 9213296 14228128 15189488 18426592 30378976 35125691 70251382 140502764 281005528 562011056 1124022112