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112423134123144 = 233213120110186029
BaseRepresentation
bin11001100011111110001100…
…111110010101010010001000
3112202001112202111220020000200
4121203332030332111102020
5104213420034313420034
61035034250321332200
732452206031651035
oct3143761476252210
9482045674806020
10112423134123144
1132904424390509
1210738434197060
134a965c0c63410
141da94471d638c
15cee5b508da99
hex663f8cf95488

112423134123144 has 48 divisors (see below), whose sum is σ = 327900807861900. Its totient is φ = 34591733576064.

The previous prime is 112423134123143. The next prime is 112423134123149. The reversal of 112423134123144 is 441321431324211.

112423134123144 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 231 + 3 + 412 + 3 + 1 + 4 + 4 = 666.

112423134123144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111352343779044 + 1070790344100 = 10552362^2 + 1034790^2 .

It is a super-2 number, since 2×1124231341231442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112423134123099 and 112423134123108.

It is not an unprimeable number, because it can be changed into a prime (112423134123143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60055092079 + ... + 60055093950.

Almost surely, 2112423134123144 is an apocalyptic number.

It is an amenable number.

112423134123144 is an abundant number, since it is smaller than the sum of its proper divisors (215477673738756).

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

112423134123144 is a wasteful number, since it uses less digits than its factorization.

112423134123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120110186054 (or 120110186047 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 112423134123144 its reverse (441321431324211), we get a palindrome (553744565447355).

The spelling of 112423134123144 in words is "one hundred twelve trillion, four hundred twenty-three billion, one hundred thirty-four million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 120110186029 240220372058 360330558087 480440744116 720661116174 960881488232 1080991674261 1441322232348 1561432418377 2161983348522 2882644464696 3122864836754 4323966697044 4684297255131 6245729673508 8647933394088 9368594510262 12491459347016 14052891765393 18737189020524 28105783530786 37474378041048 56211567061572 112423134123144