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223013011300 = 225243173329927
BaseRepresentation
bin1100111110110010011…
…1000111111101100100
3210022122011022210020021
43033230213013331210
512123212312330200
6250241210444524
722053320214262
oct3175447077544
9708564283207
10223013011300
1186641038202
123727a733744
1318050cb5721
14ab185d9432
155c039a441a
hex33ec9c7f64

223013011300 has 72 divisors (see below), whose sum is σ = 495494911296. Its totient is φ = 87077477760.

The previous prime is 223013011297. The next prime is 223013011307. The reversal of 223013011300 is 3110310322.

It is not an unprimeable number, because it can be changed into a prime (223013011307) by changing a digit.

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, 7436937 + ... + 7466863.

It is an arithmetic number, because the mean of its divisors is an integer number (6881873768).

Almost surely, 2223013011300 is an apocalyptic number.

223013011300 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 223013011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247747455648).

223013011300 is an abundant number, since it is smaller than the sum of its proper divisors (272481899996).

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

223013011300 is a wasteful number, since it uses less digits than its factorization.

223013011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31717 (or 31710 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 223013011300 its reverse (3110310322), we get a palindrome (226123321622).

The spelling of 223013011300 in words is "two hundred twenty-three billion, thirteen million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1733 2150 3466 4300 6932 8665 17330 29927 34660 43325 59854 74519 86650 119708 149038 149635 173300 298076 299270 372595 598540 745190 748175 1286861 1490380 1496350 1862975 2573722 2992700 3725950 5147444 6434305 7451900 12868610 25737220 32171525 51863491 64343050 103726982 128686100 207453964 259317455 518634910 1037269820 1296587275 2230130113 2593174550 4460260226 5186349100 8920520452 11150650565 22301301130 44602602260 55753252825 111506505650 223013011300