Search a number
-
+
11023000404 = 223131919119471
BaseRepresentation
bin10100100010000010…
…11010001101010100
31001110012201102212020
422101001122031110
5140033342003104
65021445053140
7540105646263
oct122101321524
931405642766
1011023000404
114747218399
1221776b71b0
13106891b660
14767d7a5da
15447ad42d9
hex29105a354

11023000404 has 96 divisors (see below), whose sum is σ = 29310812160. Its totient is φ = 3196195200.

The previous prime is 11023000403. The next prime is 11023000441. The reversal of 11023000404 is 40400032011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023000403) by changing a digit.

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, 556389 + ... + 575859.

It is an arithmetic number, because the mean of its divisors is an integer number (305320960).

Almost surely, 211023000404 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 11023000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655406080).

11023000404 is an abundant number, since it is smaller than the sum of its proper divisors (18287811756).

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

11023000404 is a wasteful number, since it uses less digits than its factorization.

11023000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19701 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11023000404 its reverse (40400032011), we get a palindrome (51423032415).

The spelling of 11023000404 in words is "eleven billion, twenty-three million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 191 228 247 382 494 573 741 764 988 1146 1482 2292 2483 2964 3629 4966 7258 7449 9932 10887 14516 14898 19471 21774 29796 38942 43548 47177 58413 77884 94354 116826 141531 188708 233652 253123 283062 369949 506246 566124 739898 759369 1012492 1109847 1479796 1518738 2219694 3037476 3718961 4439388 4809337 7437922 9618674 11156883 14428011 14875844 19237348 22313766 28856022 44627532 48346493 57712044 70660259 96692986 141320518 145039479 193385972 211980777 282641036 290078958 423961554 580157916 847923108 918583367 1837166734 2755750101 3674333468 5511500202 11023000404