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223103120103220 = 225710327799556559
BaseRepresentation
bin110010101110100100111110…
…001110001101011100110100
31002020221110011001000211220111
4302232210332032031130310
5213220310142221300340
62110300054120512404
764664445204116050
oct6256447616153464
91066843131024814
10223103120103220
11650a6558014965
1221032a6761b704
1397646c3128666
143d1436a346c60
151abd65676daea
hexcae93e38d734

223103120103220 has 96 divisors (see below), whose sum is σ = 540666427392000. Its totient is φ = 75746991694464.

The previous prime is 223103120103217. The next prime is 223103120103287. The reversal of 223103120103220 is 22301021301322.

It is a super-3 number, since 3×2231031201032203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223103120103191 and 223103120103200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400583301 + ... + 401139859.

It is an arithmetic number, because the mean of its divisors is an integer number (5631941952000).

Almost surely, 2223103120103220 is an apocalyptic number.

223103120103220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223103120103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270333213696000).

223103120103220 is an abundant number, since it is smaller than the sum of its proper divisors (317563307288780).

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

223103120103220 is a wasteful number, since it uses less digits than its factorization.

223103120103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584477 (or 584475 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223103120103220 its reverse (22301021301322), we get a palindrome (245404141404542).

The spelling of 223103120103220 in words is "two hundred twenty-three trillion, one hundred three billion, one hundred twenty million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 14420 27799 55598 111196 138995 194593 277990 389186 555980 556559 778372 972965 1113118 1945930 2226236 2782795 2863297 3891860 3895913 5565590 5726594 7791826 11131180 11453188 14316485 15583652 19479565 20043079 28632970 38959130 40086158 57265940 57325577 77918260 80172316 100215395 114651154 200430790 229302308 286627885 400861580 401279039 573255770 802558078 1146511540 1605116156 2006395195 4012790390 8025580780 15471783641 30943567282 61887134564 77358918205 108302485487 154717836410 216604970974 309435672820 433209941948 541512427435 1083024854870 1593593715023 2166049709740 3187187430046 6374374860092 7967968575115 11155156005161 15935937150230 22310312010322 31871874300460 44620624020644 55775780025805 111551560051610 223103120103220