Search a number
-
+
11332422400 = 285213136207
BaseRepresentation
bin10101000110111011…
…10000101100000000
31002020202221201001011
422203131300230000
5141202100004100
65112301050304
7550554000235
oct124335605400
932222851034
1011332422400
114895947752
122243256994
1310b7a67bb0
147970c378c
15464d54bba
hex2a3770b00

11332422400 has 108 divisors (see below), whose sum is σ = 30207392992. Its totient is φ = 4184248320.

The previous prime is 11332422397. The next prime is 11332422407. The reversal of 11332422400 is 422423311.

It is not an unprimeable number, because it can be changed into a prime (11332422407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15097 + ... + 151303.

Almost surely, 211332422400 is an apocalyptic number.

11332422400 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 11332422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103696496).

11332422400 is an abundant number, since it is smaller than the sum of its proper divisors (18874970592).

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

11332422400 is a wasteful number, since it uses less digits than its factorization.

11332422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136246 (or 136227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11332422400 its reverse (422423311), we get a palindrome (11754845711).

The spelling of 11332422400 in words is "eleven billion, three hundred thirty-two million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 83200 136207 272414 544828 681035 1089656 1362070 1770691 2179312 2724140 3405175 3541382 4358624 5448280 6810350 7082764 8717248 8853455 10896560 13620700 14165528 17434496 17706910 21793120 27241400 28331056 34868992 35413820 43586240 44267275 54482800 56662112 70827640 87172480 88534550 108965600 113324224 141655280 174344960 177069100 217931200 226648448 283310560 354138200 435862400 453296896 566621120 708276400 871724800 1133242240 1416552800 2266484480 2833105600 5666211200 11332422400