Search a number
-
+
113103111120 = 24352916250447
BaseRepresentation
bin110100101010101111…
…0001000001111010000
3101210221100110100120120
41221111132020033100
53323113344023440
6123543040110240
711112541403436
oct1512536101720
9353840410516
10113103111120
1143a6a83745a
1219b06005380
13a88637402c
14568d38ad56
152e1e757dd0
hex1a557883d0

113103111120 has 80 divisors (see below), whose sum is σ = 362709999360. Its totient is φ = 29120799232.

The previous prime is 113103111109. The next prime is 113103111169. The reversal of 113103111120 is 21111301311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113103111120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8118264 + ... + 8132183.

It is an arithmetic number, because the mean of its divisors is an integer number (4533874992).

Almost surely, 2113103111120 is an apocalyptic number.

113103111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113103111120 is an abundant number, since it is smaller than the sum of its proper divisors (249606888240).

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

113103111120 is a wasteful number, since it uses less digits than its factorization.

113103111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250492 (or 16250486 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 113103111120 its reverse (21111301311), we get a palindrome (134214412431).

The spelling of 113103111120 in words is "one hundred thirteen billion, one hundred three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 16250447 32500894 48751341 65001788 81252235 97502682 130003576 162504470 195005364 243756705 260007152 325008940 390010728 471262963 487513410 650017880 780021456 942525926 975026820 1300035760 1413788889 1885051852 1950053640 2356314815 2827577778 3770103704 3900107280 4712629630 5655155556 7068944445 7540207408 9425259260 11310311112 14137888890 18850518520 22620622224 28275777780 37701037040 56551555560 113103111120