Search a number
-
+
111032404400 = 24522922074337
BaseRepresentation
bin110011101101000001…
…1000000100110110000
3101121121001001112222002
41213122003000212300
53304343243420100
6123001345433132
711010325602551
oct1473203004660
9347531045862
10111032404400
11430a7996895
121962863b7a8
13a616371598
145534368328
152d4ca7a2d5
hex19da0c09b0

111032404400 has 120 divisors (see below), whose sum is σ = 276142504320. Its totient is φ = 42852167680.

The previous prime is 111032404349. The next prime is 111032404423. The reversal of 111032404400 is 4404230111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25599032 + ... + 25603368.

It is an arithmetic number, because the mean of its divisors is an integer number (2301187536).

Almost surely, 2111032404400 is an apocalyptic number.

111032404400 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 111032404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138071252160).

111032404400 is an abundant number, since it is smaller than the sum of its proper divisors (165110099920).

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

111032404400 is a wasteful number, since it uses less digits than its factorization.

111032404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 111032404400 its reverse (4404230111), we get a palindrome (115436634511).

The spelling of 111032404400 in words is "one hundred eleven billion, thirty-two million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2207 2320 2900 4337 4414 5800 8674 8828 11035 11600 17348 17656 21685 22070 34696 35312 43370 44140 55175 64003 69392 86740 88280 108425 110350 125773 128006 173480 176560 216850 220700 251546 256012 320015 346960 433700 441400 503092 512024 628865 640030 867400 882800 1006184 1024048 1257730 1280060 1600075 1734800 2012368 2515460 2560120 3144325 3200150 5030920 5120240 6288650 6400300 9571759 10061840 12577300 12800600 19143518 25154600 25601200 38287036 47858795 50309200 76574072 95717590 153148144 191435180 239293975 277581011 382870360 478587950 555162022 765740720 957175900 1110324044 1387905055 1914351800 2220648088 2775810110 3828703600 4441296176 5551620220 6939525275 11103240440 13879050550 22206480880 27758101100 55516202200 111032404400