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223111243100 = 225289124920071
BaseRepresentation
bin1100111111001001110…
…1110110010101011100
3210022220000011110221002
43033302131312111130
512123412434234400
6250255040125432
722055622163334
oct3176235662534
9708800143832
10223111243100
1186691531209
12372a7606878
131806845a455
14ab2768a0c4
155c0c409ed5
hex33f277655c

223111243100 has 72 divisors (see below), whose sum is σ = 490007700000. Its totient is φ = 88166707200.

The previous prime is 223111243097. The next prime is 223111243111. The reversal of 223111243100 is 1342111322.

It is a super-3 number, since 3×2231112431003 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11106065 + ... + 11126135.

It is an arithmetic number, because the mean of its divisors is an integer number (6805662500).

Almost surely, 2223111243100 is an apocalyptic number.

223111243100 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 223111243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245003850000).

223111243100 is an abundant number, since it is smaller than the sum of its proper divisors (266896456900).

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

223111243100 is a wasteful number, since it uses less digits than its factorization.

223111243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21423 (or 21416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 223111243100 its reverse (1342111322), we get a palindrome (224453354422).

The spelling of 223111243100 in words is "two hundred twenty-three billion, one hundred eleven million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1249 1780 2225 2498 4450 4996 6245 8900 12490 20071 24980 31225 40142 62450 80284 100355 111161 124900 200710 222322 401420 444644 501775 555805 1003550 1111610 1786319 2007100 2223220 2779025 3572638 5558050 7145276 8931595 11116100 17863190 25068679 35726380 44657975 50137358 89315950 100274716 125343395 178631900 250686790 501373580 626716975 1253433950 2231112431 2506867900 4462224862 8924449724 11155562155 22311124310 44622248620 55777810775 111555621550 223111243100