Search a number
-
+
1100225412 = 22321121319429
BaseRepresentation
bin100000110010100…
…0001101110000100
32211200021020112100
41001211001232010
54223124203122
6301101352100
736156522156
oct10145015604
92750236470
101100225412
11515059700
12268568630
13146c2c470
14a619aad6
15668ccaac
hex41941b84

1100225412 has 108 divisors (see below), whose sum is σ = 3292258060. Its totient is φ = 307739520.

The previous prime is 1100225389. The next prime is 1100225437. The reversal of 1100225412 is 2145220011.

1100225412 is a `hidden beast` number, since 1 + 100 + 22 + 541 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 1041611076 = 7656^2 + 32274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46914 + ... + 66342.

Almost surely, 21100225412 is an apocalyptic number.

1100225412 is a gapful number since it is divisible by the number (12) 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 1100225412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646129030).

1100225412 is an abundant number, since it is smaller than the sum of its proper divisors (2192032648).

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

1100225412 is a wasteful number, since it uses less digits than its factorization.

1100225412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474 (or 19458 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1100225412 is about 33169.6459432415. The cubic root of 1100225412 is about 1032.3506222543.

Adding to 1100225412 its reverse (2145220011), we get a palindrome (3245445423).

The spelling of 1100225412 in words is "one billion, one hundred million, two hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 9438 14157 18876 19429 28314 38858 56628 58287 77716 116574 174861 213719 233148 252577 349722 427438 505154 641157 699444 757731 854876 1010308 1282314 1515462 1923471 2273193 2350909 2564628 2778347 3030924 3846942 4546386 4701818 5556694 7052727 7693884 8335041 9092772 9403636 11113388 14105454 16670082 21158181 25005123 28210908 30561817 33340164 42316362 50010246 61123634 84632724 91685451 100020492 122247268 183370902 275056353 366741804 550112706 1100225412