Search a number
-
+
11001120192 = 263347913291
BaseRepresentation
bin10100011111011011…
…11100010111000000
31001101200112210212000
422033231330113000
5140012241321232
65015344104000
7536421656466
oct121755742700
931350483760
1011001120192
114735933477
122170305000
13106422a49a
147650c2836
15445c1127c
hex28fb7c5c0

11001120192 has 112 divisors (see below), whose sum is σ = 32411212800. Its totient is φ = 3659109120.

The previous prime is 11001120191. The next prime is 11001120197. The reversal of 11001120192 is 29102110011.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001120191) 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, 821067 + ... + 834357.

Almost surely, 211001120192 is an apocalyptic number.

11001120192 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 11001120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205606400).

11001120192 is an abundant number, since it is smaller than the sum of its proper divisors (21410092608).

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

11001120192 is a wasteful number, since it uses less digits than its factorization.

11001120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13791 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 11001120192 in words is "eleven billion, one million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 479 576 864 958 1437 1728 1916 2874 3832 4311 5748 7664 8622 11496 12933 13291 15328 17244 22992 25866 26582 30656 34488 39873 45984 51732 53164 68976 79746 91968 103464 106328 119619 137952 159492 206928 212656 239238 275904 318984 358857 413856 425312 478476 637968 717714 827712 850624 956952 1275936 1435428 1913904 2551872 2870856 3827808 5741712 6366389 7655616 11483424 12732778 19099167 22966848 25465556 38198334 50931112 57297501 76396668 101862224 114595002 152793336 171892503 203724448 229190004 305586672 343785006 407448896 458380008 611173344 687570012 916760016 1222346688 1375140024 1833520032 2750280048 3667040064 5500560096 11001120192