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112230232020 = 2234569277921
BaseRepresentation
bin110100010000101110…
…0010110111111010100
3101201200111222111120000
41220201130112333110
53314321414411040
6123320255211300
711052112142424
oct1504134267724
9351614874500
10112230232020
1143662049475
1219901816b30
13a77758501a
145609490484
152dbccd7130
hex1a21716fd4

112230232020 has 60 divisors (see below), whose sum is σ = 352070399604. Its totient is φ = 29928061440.

The previous prime is 112230231983. The next prime is 112230232021. The reversal of 112230232020 is 20232032211.

112230232020 is a `hidden beast` number, since 1 + 1 + 22 + 302 + 320 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29772812304 + 82457419716 = 172548^2 + 287154^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112230231984 and 112230232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112230232021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34637341 + ... + 34640580.

Almost surely, 2112230232020 is an apocalyptic number.

112230232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112230232020 is an abundant number, since it is smaller than the sum of its proper divisors (239840167584).

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

112230232020 is a wasteful number, since it uses less digits than its factorization.

112230232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69277942 (or 69277931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112230232020 its reverse (20232032211), we get a palindrome (132462264231).

The spelling of 112230232020 in words is "one hundred twelve billion, two hundred thirty million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 69277921 138555842 207833763 277111684 346389605 415667526 623501289 692779210 831335052 1039168815 1247002578 1385558420 1870503867 2078337630 2494005156 3117506445 3741007734 4156675260 5611511601 6235012890 7482015468 9352519335 11223023202 12470025780 18705038670 22446046404 28057558005 37410077340 56115116010 112230232020