Search a number
-
+
11031123400 = 23521113936073
BaseRepresentation
bin10100100011000000…
…11001010111001000
31001110210000010111221
422101200121113020
5140042431422100
65022335131424
7540235000423
oct122140312710
931423003457
1011031123400
114750866310
12217a373b74
13106a503a6b
147690929ba
1544868b01a
hex2918195c8

11031123400 has 96 divisors (see below), whose sum is σ = 28181008800. Its totient is φ = 3982348800.

The previous prime is 11031123371. The next prime is 11031123401. The reversal of 11031123400 is 432113011.

It is not an unprimeable number, because it can be changed into a prime (11031123401) 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 23 ways as a sum of consecutive naturals, for example, 287764 + ... + 323836.

It is an arithmetic number, because the mean of its divisors is an integer number (293552175).

Almost surely, 211031123400 is an apocalyptic number.

11031123400 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 11031123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14090504400).

11031123400 is an abundant number, since it is smaller than the sum of its proper divisors (17149885400).

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

11031123400 is a wasteful number, since it uses less digits than its factorization.

11031123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36239 (or 36230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11031123400 its reverse (432113011), we get a palindrome (11463236411).

It can be divided in two parts, 11031 and 123400, that added together give a palindrome (134431).

The spelling of 11031123400 in words is "eleven billion, thirty-one million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 139 200 220 275 278 440 550 556 695 1100 1112 1390 1529 2200 2780 3058 3475 5560 6116 6950 7645 12232 13900 15290 27800 30580 36073 38225 61160 72146 76450 144292 152900 180365 288584 305800 360730 396803 721460 793606 901825 1442920 1587212 1803650 1984015 3174424 3607300 3968030 5014147 7214600 7936060 9920075 10028294 15872120 19840150 20056588 25070735 39680300 40113176 50141470 55155617 79360600 100282940 110311234 125353675 200565880 220622468 250707350 275778085 441244936 501414700 551556170 1002829400 1103112340 1378890425 2206224680 2757780850 5515561700 11031123400