Search a number
-
+
112013113320 = 233251913162649
BaseRepresentation
bin110100001010010000…
…0000111011111101000
3101201010101102201200200
41220110200013133220
53313400324111240
6123242541432200
711043534516333
oct1502440073750
9351111381620
10112013113320
1143560533a29
1219860b6b660
13a7415b5c14
1455c86d361a
152da8bea930
hex1a148077e8

112013113320 has 96 divisors (see below), whose sum is σ = 364235157000. Its totient is φ = 29854365696.

The previous prime is 112013113313. The next prime is 112013113343. The reversal of 112013113320 is 23311310211.

112013113320 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 311 + 332 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103237545636 + 8775567684 = 321306^2 + 93678^2 .

It is a super-2 number, since 2×1120131133202 (a number of 23 digits) contains 22 as substring.

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 = 112013113293 and 112013113302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607356 + ... + 770004.

Almost surely, 2112013113320 is an apocalyptic number.

112013113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112013113320 is an abundant number, since it is smaller than the sum of its proper divisors (252222043680).

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

112013113320 is a wasteful number, since it uses less digits than its factorization.

112013113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164579 (or 164572 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112013113320 its reverse (23311310211), we get a palindrome (135324423531).

The spelling of 112013113320 in words is "one hundred twelve billion, thirteen million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1913 3826 5739 7652 9565 11478 15304 17217 19130 22956 28695 34434 38260 45912 57390 68868 76520 86085 114780 137736 162649 172170 229560 325298 344340 487947 650596 688680 813245 975894 1301192 1463841 1626490 1951788 2439735 2927682 3252980 3903576 4879470 5855364 6505960 7319205 9758940 11710728 14638410 19517880 29276820 58553640 311147537 622295074 933442611 1244590148 1555737685 1866885222 2489180296 2800327833 3111475370 3733770444 4667213055 5600655666 6222950740 7467540888 9334426110 11201311332 12445901480 14001639165 18668852220 22402622664 28003278330 37337704440 56006556660 112013113320