Search a number
-
+
11024326000 = 245341134443
BaseRepresentation
bin10100100010001100…
…11101110101110000
31001110022012210020101
422101012131311300
5140034211413000
65021533322144
7540123140062
oct122106356560
931408183211
1011024326000
114747a43326
122178036354
131068c93b2c
14768203732
15447c96e6a
hex29119dd70

11024326000 has 80 divisors (see below), whose sum is σ = 27307189728. Its totient is φ = 4302144000.

The previous prime is 11024325979. The next prime is 11024326007. The reversal of 11024326000 is 62342011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024326007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14779 + ... + 149221.

Almost surely, 211024326000 is an apocalyptic number.

11024326000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11024326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653594864).

11024326000 is an abundant number, since it is smaller than the sum of its proper divisors (16282863728).

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

11024326000 is a wasteful number, since it uses less digits than its factorization.

11024326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134507 (or 134491 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11024326000 its reverse (62342011), we get a palindrome (11086668011).

The spelling of 11024326000 in words is "eleven billion, twenty-four million, three hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 134443 268886 537772 672215 1075544 1344430 2151088 2688860 3361075 5377720 5512163 6722150 10755440 11024326 13444300 16805375 22048652 26888600 27560815 33610750 44097304 53777200 55121630 67221500 88194608 110243260 134443000 137804075 220486520 268886000 275608150 440973040 551216300 689020375 1102432600 1378040750 2204865200 2756081500 5512163000 11024326000