Search a number
-
+
112303310220 = 223657702559
BaseRepresentation
bin110100010010111001…
…1001000010110001100
3101201212121111021000000
41220211303020112030
53314444121411340
6123331425404300
711053660246413
oct1504563102614
9351777437000
10112303310220
114369a322182
1219922199690
13a78976096a
14561507447a
152dc441ed30
hex1a25cc858c

112303310220 has 84 divisors (see below), whose sum is σ = 353593719360. Its totient is φ = 29947545504.

The previous prime is 112303310201. The next prime is 112303310239. The reversal of 112303310220 is 22013303211.

112303310220 is a `hidden beast` number, since 112 + 3 + 0 + 331 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112303310201) and next prime (112303310239).

It is a super-2 number, since 2×1123033102202 (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 = 112303310193 and 112303310202.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3836700 + ... + 3865859.

It is an arithmetic number, because the mean of its divisors is an integer number (4209449040).

Almost surely, 2112303310220 is an apocalyptic number.

112303310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112303310220 is an abundant number, since it is smaller than the sum of its proper divisors (241290409140).

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

112303310220 is an equidigital number, since it uses as much as digits as its factorization.

112303310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702586 (or 7702569 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112303310220 its reverse (22013303211), we get a palindrome (134316613431).

The spelling of 112303310220 in words is "one hundred twelve billion, three hundred three million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 7702559 15405118 23107677 30810236 38512795 46215354 69323031 77025590 92430708 115538385 138646062 154051180 207969093 231076770 277292124 346615155 415938186 462153540 623907279 693230310 831876372 1039845465 1247814558 1386460620 1871721837 2079690930 2495629116 3119536395 3743443674 4159381860 5615165511 6239072790 7486887348 9358609185 11230331022 12478145580 18717218370 22460662044 28075827555 37434436740 56151655110 112303310220