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11023240404 = 22311435336643
BaseRepresentation
bin10100100010000100…
…10100110011010100
31001110020011122002010
422101002110303110
5140033422143104
65021454144220
7540110666061
oct122102246324
931406148063
1011023240404
114747371740
1221777b2070
1310689a3977
14767dddc68
15447b30489
hex291094cd4

11023240404 has 96 divisors (see below), whose sum is σ = 29254224384. Its totient is φ = 3201045120.

The previous prime is 11023240379. The next prime is 11023240421. The reversal of 11023240404 is 40404232011.

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 31 ways as a sum of consecutive naturals, for example, 282507 + ... + 319149.

It is an arithmetic number, because the mean of its divisors is an integer number (304731504).

Almost surely, 211023240404 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 11023240404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627112192).

11023240404 is an abundant number, since it is smaller than the sum of its proper divisors (18230983980).

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

11023240404 is a wasteful number, since it uses less digits than its factorization.

11023240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36757 (or 36755 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11023240404 its reverse (40404232011), we get a palindrome (51427472415).

The spelling of 11023240404 in words is "eleven billion, twenty-three million, two hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 53 66 86 106 129 132 159 172 212 258 318 473 516 583 636 946 1166 1419 1749 1892 2279 2332 2838 3498 4558 5676 6837 6996 9116 13674 25069 27348 36643 50138 73286 75207 100276 109929 146572 150414 219858 300828 403073 439716 806146 1209219 1575649 1612292 1942079 2418438 3151298 3884158 4726947 4836876 5826237 6302596 7768316 9453894 11652474 17332139 18907788 21362869 23304948 34664278 42725738 51996417 64088607 69328556 83509397 85451476 103992834 128177214 167018794 207985668 250528191 256354428 334037588 501056382 918603367 1002112764 1837206734 2755810101 3674413468 5511620202 11023240404