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112224312420 = 2235111181143977
BaseRepresentation
bin110100010000100010…
…1110001110001100100
3101201200002211202101120
41220201011301301210
53314313410444140
6123315524253540
711052010626213
oct1504105616144
9351602752346
10112224312420
1143659775a40
12198bb8412b0
13a7762917bc
14560878d07a
152dbc5181d0
hex1a21171c64

112224312420 has 96 divisors (see below), whose sum is σ = 343086903936. Its totient is φ = 27182668800.

The previous prime is 112224312407. The next prime is 112224312451. The reversal of 112224312420 is 24213422211.

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, 707472 + ... + 851448.

It is an arithmetic number, because the mean of its divisors is an integer number (3573821916).

Almost surely, 2112224312420 is an apocalyptic number.

112224312420 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 112224312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171543451968).

112224312420 is an abundant number, since it is smaller than the sum of its proper divisors (230862591516).

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

112224312420 is a wasteful number, since it uses less digits than its factorization.

112224312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145181 (or 145179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112224312420 its reverse (24213422211), we get a palindrome (136437734631).

The spelling of 112224312420 in words is "one hundred twelve billion, two hundred twenty-four million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1181 2362 3543 4724 5905 7086 11810 12991 14172 17715 23620 25982 35430 38973 51964 64955 70860 77946 129910 143977 155892 194865 259820 287954 389730 431931 575908 719885 779460 863862 1439770 1583747 1727724 2159655 2879540 3167494 4319310 4751241 6334988 7918735 8638620 9502482 15837470 19004964 23756205 31674940 47512410 95024820 170036837 340073674 510110511 680147348 850184185 1020221022 1700368370 1870405207 2040442044 2550552555 3400736740 3740810414 5101105110 5611215621 7481620828 9352026035 10202210220 11222431242 18704052070 22444862484 28056078105 37408104140 56112156210 112224312420