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10412243300 = 22521759103811
BaseRepresentation
bin10011011001001111…
…00011100101100100
3222212122110202121202
421230213203211210
5132311013241200
64441110302032
7516011415314
oct115447434544
928778422552
1010412243300
114463492558
122027057918
13c9c227714
1470abd3444
1540e18e1d5
hex26c9e3964

10412243300 has 72 divisors (see below), whose sum is σ = 24329380320. Its totient is φ = 3853427200.

The previous prime is 10412243287. The next prime is 10412243341. The reversal of 10412243300 is 334221401.

10412243300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48395 + ... + 152205.

It is an arithmetic number, because the mean of its divisors is an integer number (337908060).

Almost surely, 210412243300 is an apocalyptic number.

10412243300 is a gapful number since it is divisible by the number (10) 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 10412243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12164690160).

10412243300 is an abundant number, since it is smaller than the sum of its proper divisors (13917137020).

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

10412243300 is a wasteful number, since it uses less digits than its factorization.

10412243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103901 (or 103894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10412243300 its reverse (334221401), we get a palindrome (10746464701).

The spelling of 10412243300 in words is "ten billion, four hundred twelve million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 59 68 85 100 118 170 236 295 340 425 590 850 1003 1180 1475 1700 2006 2950 4012 5015 5900 10030 20060 25075 50150 100300 103811 207622 415244 519055 1038110 1764787 2076220 2595275 3529574 5190550 6124849 7059148 8823935 10381100 12249698 17647870 24499396 30624245 35295740 44119675 61248490 88239350 104122433 122496980 153121225 176478700 208244866 306242450 416489732 520612165 612484900 1041224330 2082448660 2603060825 5206121650 10412243300