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41223203124100 = 22522928335017613
BaseRepresentation
bin10010101111110000001100…
…11000001111001110000100
312101221220021220101221202121
421113320012120033032010
520400400104444432400
6223401402244215324
711453164255044634
oct1127700630171604
9171856256357677
1041223203124100
1112153731527788
1247593bb39a544
131a004400508aa
14a272dc4886c4
154b749b98c21a
hex257e0660f384

41223203124100 has 72 divisors (see below), whose sum is σ = 92571666674760. Its totient is φ = 15915062446080.

The previous prime is 41223203124083. The next prime is 41223203124101. The reversal of 41223203124100 is 142130232214.

It can be written as a sum of positive squares in 12 ways, for example, as 23680525317696 + 17542677806404 = 4866264^2 + 4188398^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41223203124101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5706894 + ... + 10724506.

It is an arithmetic number, because the mean of its divisors is an integer number (1285717592705).

Almost surely, 241223203124100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41223203124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46285833337380).

41223203124100 is an abundant number, since it is smaller than the sum of its proper divisors (51348463550660).

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

41223203124100 is a wasteful number, since it uses less digits than its factorization.

41223203124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020489 (or 5020482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 41223203124100 its reverse (142130232214), we get a palindrome (41365333356314).

The spelling of 41223203124100 in words is "forty-one trillion, two hundred twenty-three billion, two hundred three million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2833 2900 5666 11332 14165 28330 56660 70825 82157 141650 164314 283300 328628 410785 821570 1643140 2053925 4107850 5017613 8215700 10035226 20070452 25088065 50176130 100352260 125440325 145510777 250880650 291021554 501761300 582043108 727553885 1455107770 2910215540 3637769425 7275538850 14214897629 14551077700 28429795258 56859590516 71074488145 142148976290 284297952580 355372440725 412232031241 710744881450 824464062482 1421489762900 1648928124964 2061160156205 4122320312410 8244640624820 10305800781025 20611601562050 41223203124100