Search a number
-
+
1105122304 = 21011137547
BaseRepresentation
bin100000111011110…
…1101010000000000
32212000111000210201
41001313231100000
54230402403204
6301354334544
736246245626
oct10167552000
92760430721
101105122304
115178a3820
1226a12a454
13147c55330
14a6ab3516
15670489a4
hex41ded400

1105122304 has 88 divisors (see below), whose sum is σ = 2595727008. Its totient is φ = 463626240.

The previous prime is 1105122283. The next prime is 1105122311. The reversal of 1105122304 is 4032215011.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142659 + ... + 150205.

Almost surely, 21105122304 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 1105122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297863504).

1105122304 is an abundant number, since it is smaller than the sum of its proper divisors (1490604704).

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

1105122304 is a wasteful number, since it uses less digits than its factorization.

1105122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1105122304 is about 33243.3798522352. The cubic root of 1105122304 is about 1033.8799536888.

Adding to 1105122304 its reverse (4032215011), we get a palindrome (5137337315).

The spelling of 1105122304 in words is "one billion, one hundred five million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1024 1144 1408 1664 2288 2816 3328 4576 5632 6656 7547 9152 11264 13312 15094 18304 30188 36608 60376 73216 83017 98111 120752 146432 166034 196222 241504 332068 392444 483008 664136 784888 966016 1079221 1328272 1569776 1932032 2158442 2656544 3139552 3864064 4316884 5313088 6279104 7728128 8633768 10626176 12558208 17267536 21252352 25116416 34535072 42504704 50232832 69070144 85009408 100465664 138140288 276280576 552561152 1105122304