Search a number
-
+
113123120 = 24511128549
BaseRepresentation
bin1101011111000…
…01111100110000
321212212020202012
412233201330300
5212424414440
615120342052
72542350005
oct657417460
9255766665
10113123120
1158945090
1231a74928
131a589a76
14110498ac
159de7e65
hex6be1f30

113123120 has 40 divisors (see below), whose sum is σ = 286923600. Its totient is φ = 41135360.

The previous prime is 113123089. The next prime is 113123137. The reversal of 113123120 is 21321311.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 113123095 and 113123104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63395 + ... + 65154.

It is an arithmetic number, because the mean of its divisors is an integer number (7173090).

Almost surely, 2113123120 is an apocalyptic number.

113123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113123120 is an abundant number, since it is smaller than the sum of its proper divisors (173800480).

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

113123120 is a wasteful number, since it uses less digits than its factorization.

113123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128573 (or 128567 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 113123120 is about 10635.9353138311. The cubic root of 113123120 is about 483.6343343749.

Adding to 113123120 its reverse (21321311), we get a palindrome (134444431).

The spelling of 113123120 in words is "one hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 128549 257098 514196 642745 1028392 1285490 1414039 2056784 2570980 2828078 5141960 5656156 7070195 10283920 11312312 14140390 22624624 28280780 56561560 113123120