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223103211320 = 235111926686987
BaseRepresentation
bin1100111111000111111…
…1001101011100111000
3210022212110001102101202
43033301333031130320
512123403410230240
6250254152033332
722055464002143
oct3176177153470
9708773042352
10223103211320
1186687a45880
12372a4992848
13180668a7712
14ab2659905a
155c0b870315
hex33f1fcd738

223103211320 has 64 divisors (see below), whose sum is σ = 576438940800. Its totient is φ = 76858519680.

The previous prime is 223103211311. The next prime is 223103211323. The reversal of 223103211320 is 23112301322.

223103211320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231032113203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223103211292 and 223103211301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223103211323) 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, 13335134 + ... + 13351853.

It is an arithmetic number, because the mean of its divisors is an integer number (9006858450).

Almost surely, 2223103211320 is an apocalyptic number.

223103211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223103211320 is an abundant number, since it is smaller than the sum of its proper divisors (353335729480).

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

223103211320 is a wasteful number, since it uses less digits than its factorization.

223103211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26687028 (or 26687024 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 223103211320 its reverse (23112301322), we get a palindrome (246215512642).

The spelling of 223103211320 in words is "two hundred twenty-three billion, one hundred three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 26686987 53373974 106747948 133434935 213495896 266869870 293556857 507052753 533739740 587113714 1014105506 1067479480 1174227428 1467784285 2028211012 2348454856 2535263765 2935568570 4056422024 5070527530 5577580283 5871137140 10141055060 11155160566 11742274280 20282110120 22310321132 27887901415 44620642264 55775802830 111551605660 223103211320