Search a number
-
+
112303331200 = 275270949499
BaseRepresentation
bin110100010010111001…
…1001101011110000000
3101201212121112022210001
41220211303031132000
53314444123044300
6123331430045344
711053660364524
oct1504563153600
9351777468701
10112303331200
114369a336a15
12199221a9854
13a78976a388
14561507bd84
152dc442616a
hex1a25ccd780

112303331200 has 96 divisors (see below), whose sum is σ = 277821225000. Its totient is φ = 44857067520.

The previous prime is 112303331183. The next prime is 112303331209. The reversal of 112303331200 is 2133303211.

It is a super-2 number, since 2×1123033312002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112303331209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2244051 + ... + 2293549.

Almost surely, 2112303331200 is an apocalyptic number.

112303331200 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 112303331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138910612500).

112303331200 is an abundant number, since it is smaller than the sum of its proper divisors (165517893800).

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

112303331200 is an equidigital number, since it uses as much as digits as its factorization.

112303331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50232 (or 50215 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 112303331200 its reverse (2133303211), we get a palindrome (114436634411).

The spelling of 112303331200 in words is "one hundred twelve billion, three hundred three million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 709 800 1418 1600 2836 3200 3545 5672 7090 11344 14180 17725 22688 28360 35450 45376 49499 56720 70900 90752 98998 113440 141800 197996 226880 247495 283600 395992 453760 494990 567200 791984 989980 1134400 1237475 1583968 1979960 2268800 2474950 3167936 3959920 4949900 6335872 7919840 9899800 15839680 19799600 31679360 35094791 39599200 70189582 79198400 140379164 158396800 175473955 280758328 350947910 561516656 701895820 877369775 1123033312 1403791640 1754739550 2246066624 2807583280 3509479100 4492133248 5615166560 7018958200 11230333120 14037916400 22460666240 28075832800 56151665600 112303331200