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112203202314 = 23743127489197
BaseRepresentation
bin110100001111111010…
…1001111111100001010
3101201121122010020202210
41220133311033330022
53314243004433224
6123313452005550
711051333324550
oct1503765177412
9351548106683
10112203202314
1143648867675
12198b47608b6
13a771ab0008
145605a55bd0
152dba748429
hex1a1fd4ff0a

112203202314 has 64 divisors (see below), whose sum is σ = 264495661056. Its totient is φ = 31065902784.

The previous prime is 112203202283. The next prime is 112203202343. The reversal of 112203202314 is 413202302211.

112203202314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15237 + ... + 473960.

It is an arithmetic number, because the mean of its divisors is an integer number (4132744704).

Almost surely, 2112203202314 is an apocalyptic number.

112203202314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112203202314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132247830528).

112203202314 is an abundant number, since it is smaller than the sum of its proper divisors (152292458742).

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

112203202314 is a wasteful number, since it uses less digits than its factorization.

112203202314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489379.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112203202314 its reverse (413202302211), we get a palindrome (525405504525).

The spelling of 112203202314 in words is "one hundred twelve billion, two hundred three million, two hundred two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 127 129 254 258 301 381 602 762 889 903 1778 1806 2667 5334 5461 10922 16383 32766 38227 76454 114681 229362 489197 978394 1467591 2935182 3424379 6848758 10273137 20546274 21035471 42070942 62128019 63106413 124256038 126212826 147248297 186384057 294496594 372768114 434896133 441744891 869792266 883489782 1304688399 2609376798 2671504817 5343009634 8014514451 16029028902 18700533719 37401067438 56101601157 112203202314