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1103314144 = 25172532251
BaseRepresentation
bin100000111000011…
…0011110011100000
32211220002011110211
41001300303303200
54224422023034
6301251503504
736225005212
oct10160636340
92756064424
101103314144
11516879279
122695b7b94
1314777130a
14a67625b2
1566cdcd64
hex41c33ce0

1103314144 has 72 divisors (see below), whose sum is σ = 2352020328. Its totient is φ = 509184000.

The previous prime is 1103314139. The next prime is 1103314153. The reversal of 1103314144 is 4414133011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 489019 + ... + 491269.

It is an arithmetic number, because the mean of its divisors is an integer number (32666949).

Almost surely, 21103314144 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 1103314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176010164).

1103314144 is an abundant number, since it is smaller than the sum of its proper divisors (1248706184).

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

1103314144 is a wasteful number, since it uses less digits than its factorization.

1103314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1103314144 is about 33216.1729282589. The cubic root of 1103314144 is about 1033.3157805782.

Adding to 1103314144 its reverse (4414133011), we get a palindrome (5517447155).

The spelling of 1103314144 in words is "one billion, one hundred three million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 289 424 544 578 848 901 1156 1696 1802 2251 2312 3604 4502 4624 7208 9004 9248 14416 15317 18008 28832 30634 36016 38267 61268 72032 76534 119303 122536 153068 238606 245072 306136 477212 490144 612272 650539 954424 1224544 1301078 1908848 2028151 2602156 3817696 4056302 5204312 8112604 10408624 16225208 20817248 32450416 34478567 64900832 68957134 137914268 275828536 551657072 1103314144