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223213012303100 = 225217377434776173
BaseRepresentation
bin110010110000001011010100…
…010011101011110011111100
31002021022221210121121000022112
4302300023110103223303330
5213224110222122144400
62110422350420033152
765005415346316331
oct6260132423536374
91067287717530275
10223213012303100
116513911a326166
12210502162327b8
139771b871b05c1
143d197d30a8988
151ac1439170835
hexcb02d44ebcfc

223213012303100 has 144 divisors (see below), whose sum is σ = 527434958127168. Its totient is φ = 81651908136960.

The previous prime is 223213012303079. The next prime is 223213012303121. The reversal of 223213012303100 is 1303210312322.

It is an interprime number because it is at equal distance from previous prime (223213012303079) and next prime (223213012303121).

It is a super-3 number, since 3×2232130123031003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44346614 + ... + 49122786.

It is an arithmetic number, because the mean of its divisors is an integer number (3662742764772).

Almost surely, 2223213012303100 is an apocalyptic number.

223213012303100 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 223213012303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263717479063584).

223213012303100 is an abundant number, since it is smaller than the sum of its proper divisors (304221945824068).

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

223213012303100 is a wasteful number, since it uses less digits than its factorization.

223213012303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776984 (or 4776977 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 223213012303100 its reverse (1303210312322), we get a palindrome (224516222615422).

The spelling of 223213012303100 in words is "two hundred twenty-three trillion, two hundred thirteen billion, twelve million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 340 370 425 629 740 743 850 925 1258 1486 1700 1850 2516 2972 3145 3700 3715 6290 7430 12580 12631 14860 15725 18575 25262 27491 31450 37150 50524 54982 62900 63155 74300 109964 126310 137455 252620 274910 315775 467347 549820 631550 687275 934694 1263100 1374550 1869388 2336735 2749100 4673470 4776173 9346940 9552346 11683675 19104692 23367350 23880865 46734700 47761730 81194941 95523460 119404325 162389882 176718401 238808650 324779764 353436802 405974705 477617300 706873604 811949410 883592005 1623898820 1767184010 2029873525 3004212817 3534368020 3548696539 4059747050 4417960025 6008425634 7097393078 8119494100 8835920050 12016851268 14194786156 15021064085 17671840100 17743482695 30042128170 35486965390 60084256340 60327841163 70973930780 75105320425 88717413475 120655682326 131301771943 150210640850 177434826950 241311364652 262603543886 300421281700 301639205815 354869653900 525207087772 603278411630 656508859715 1206556823260 1313017719430 1508196029075 2232130123031 2626035438860 3016392058150 3282544298575 4464260246062 6032784116300 6565088597150 8928520492124 11160650615155 13130177194300 22321301230310 44642602460620 55803253075775 111606506151550 223213012303100