Search a number
-
+
112203101320 = 235591731991381
BaseRepresentation
bin110100001111111010…
…0110111010010001000
3101201121121221010020021
41220133310313102020
53314242443220240
6123313445510224
711051332424242
oct1503764672210
9351547833207
10112203101320
11436487a8802
12198b4712374
13a771a7605b
145605a2b092
152dba72854a
hex1a1fd37488

112203101320 has 128 divisors (see below), whose sum is σ = 259705440000. Its totient is φ = 43613475840.

The previous prime is 112203101281. The next prime is 112203101347. The reversal of 112203101320 is 23101302211.

It is a junction number, because it is equal to n+sod(n) for n = 112203101294 and 112203101303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81247030 + ... + 81248410.

It is an arithmetic number, because the mean of its divisors is an integer number (2028948750).

Almost surely, 2112203101320 is an apocalyptic number.

112203101320 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 112203101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129852720000).

112203101320 is an abundant number, since it is smaller than the sum of its proper divisors (147502338680).

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

112203101320 is a wasteful number, since it uses less digits than its factorization.

112203101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1819 counting only the distinct ones).

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

Adding to 112203101320 its reverse (23101302211), we get a palindrome (135304403531).

The spelling of 112203101320 in words is "one hundred twelve billion, two hundred three million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 173 199 236 295 346 398 472 590 692 796 865 995 1180 1381 1384 1592 1730 1990 2360 2762 3460 3980 5524 6905 6920 7960 10207 11048 11741 13810 20414 23482 27620 34427 40828 46964 51035 55240 58705 68854 81479 81656 93928 102070 117410 137708 162958 172135 204140 234820 238913 274819 275416 325916 344270 407395 408280 469640 477826 549638 651832 688540 814790 955652 1099276 1194565 1374095 1377080 1629580 1911304 2031193 2198552 2389130 2748190 3259160 4062386 4778260 5496380 8124772 9556520 10155965 10992760 14095867 16214321 16249544 20311930 28191734 32428642 40623860 47543687 56383468 64857284 70479335 81071605 81247720 95087374 112766936 129714568 140958670 162143210 190174748 237718435 281917340 324286420 380349496 475436870 563834680 648572840 950873740 1901747480 2805077533 5610155066 11220310132 14025387665 22440620264 28050775330 56101550660 112203101320