Search a number
-
+
112256601210 = 232513109187943
BaseRepresentation
bin110100010001100000…
…0111100110001111010
3101201202100121012021200
41220203000330301322
53314400142214320
6123323040315030
711052552236505
oct1504300746172
9351670535250
10112256601210
1143675a19a96
121990a612a76
13a77cb884b0
14560cb9613c
152dc0295290
hex1a2303cc7a

112256601210 has 96 divisors (see below), whose sum is σ = 314610162048. Its totient is φ = 27606752640.

The previous prime is 112256601199. The next prime is 112256601217. The reversal of 112256601210 is 12106652211.

112256601210 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 56 + 601 + 2 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (112256601217) 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 47 ways as a sum of consecutive naturals, for example, 1232499 + ... + 1320441.

It is an arithmetic number, because the mean of its divisors is an integer number (3277189188).

Almost surely, 2112256601210 is an apocalyptic number.

112256601210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112256601210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157305081024).

112256601210 is an abundant number, since it is smaller than the sum of its proper divisors (202353560838).

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

112256601210 is a wasteful number, since it uses less digits than its factorization.

112256601210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89060 (or 89057 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 112256601210 in words is "one hundred twelve billion, two hundred fifty-six million, six hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1091 1170 2182 3273 5455 6546 9819 10910 14183 16365 19638 28366 32730 42549 49095 70915 85098 87943 98190 127647 141830 175886 212745 255294 263829 425490 439715 527658 638235 791487 879430 1143259 1276470 1319145 1582974 2286518 2638290 3429777 3957435 5716295 6859554 7914870 10289331 11432590 17148885 20578662 34297770 51446655 95945813 102893310 191891626 287837439 479729065 575674878 863512317 959458130 1247295569 1439187195 1727024634 2494591138 2878374390 3741886707 4317561585 6236477845 7483773414 8635123170 11225660121 12472955690 18709433535 22451320242 37418867070 56128300605 112256601210