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223113013203120 = 24352340419024131
BaseRepresentation
bin110010101110101110001011…
…111001011001000010110000
31002020222101200111122101122220
4302232232023321121002300
5213220440422334444440
62110304411524201040
764665245313066645
oct6256561371310260
91066871614571586
10223113013203120
11650aa774455287
1221034968839180
13976560b927721
143d14a281dddcc
151abda350628d0
hexcaeb8be590b0

223113013203120 has 80 divisors (see below), whose sum is σ = 721722094900992. Its totient is φ = 56909985975040.

The previous prime is 223113013203109. The next prime is 223113013203121. The reversal of 223113013203120 is 21302310311322.

223113013203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2231130132031203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (223113013203121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20209506546 + ... + 20209517585.

Almost surely, 2223113013203120 is an apocalyptic number.

223113013203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223113013203120 is an abundant number, since it is smaller than the sum of its proper divisors (498609081697872).

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

223113013203120 is a wasteful number, since it uses less digits than its factorization.

223113013203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40419024170 (or 40419024164 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 223113013203120 its reverse (21302310311322), we get a palindrome (244415323514442).

The spelling of 223113013203120 in words is "two hundred twenty-three trillion, one hundred thirteen billion, thirteen million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 40419024131 80838048262 121257072393 161676096524 202095120655 242514144786 323352193048 404190241310 485028289572 606285361965 646704386096 808380482620 929637555013 970056579144 1212570723930 1616760965240 1859275110026 1940113158288 2425141447860 2788912665039 3233521930480 3718550220052 4648187775065 4850282895720 5577825330078 7437100440104 9296375550130 9700565791440 11155650660156 13944563325195 14874200880208 18592751100260 22311301320312 27889126650390 37185502200520 44622602640624 55778253300780 74371004401040 111556506601560 223113013203120