Search a number
-
+
112453523100 = 2235524627717
BaseRepresentation
bin110100010111011000…
…0001001011010011100
3101202021002010212100000
41220232300021122130
53320301100214400
6123354353134300
711060463114012
oct1505660113234
9352232125300
10112453523100
114376709a356
121996455a390
13a7b1905719
14562adb68b2
152dd26e2600
hex1a2ec0969c

112453523100 has 108 divisors (see below), whose sum is σ = 365534189384. Its totient is φ = 29987599680.

The previous prime is 112453523071. The next prime is 112453523107. The reversal of 112453523100 is 1325354211.

112453523100 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 535 + 23 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1124535231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112453523107) 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 35 ways as a sum of consecutive naturals, for example, 2289559 + ... + 2338158.

Almost surely, 2112453523100 is an apocalyptic number.

112453523100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112453523100 is an abundant number, since it is smaller than the sum of its proper divisors (253080666284).

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

112453523100 is a wasteful number, since it uses less digits than its factorization.

112453523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627746 (or 4627727 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 112453523100 its reverse (1325354211), we get a palindrome (113778877311).

The spelling of 112453523100 in words is "one hundred twelve billion, four hundred fifty-three million, five hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 4627717 9255434 13883151 18510868 23138585 27766302 41649453 46277170 55532604 69415755 83298906 92554340 115692925 124948359 138831510 166597812 208247265 231385850 249896718 277663020 347078775 374845077 416494530 462771700 499793436 624741795 694157550 749690154 832989060 1041236325 1124535231 1249483590 1388315100 1499380308 1874225385 2082472650 2249070462 2498967180 3123708975 3748450770 4164945300 4498140924 5622676155 6247417950 7496901540 9371126925 11245352310 12494835900 18742253850 22490704620 28113380775 37484507700 56226761550 112453523100