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200210221000110 = 235311493673936869
BaseRepresentation
bin101101100001011100010011…
…000110100110010110101110
3222020212220120112112100100110
4231201130103012212112232
5202220221013034000420
61545451150015040450
760112465626323616
oct5541342306462656
9866786515470313
10200210221000110
115887a750315182
121a5560b9b10126
138793986cc61c9
143762325355a46
151822dd99c7ee0
hexb617131a65ae

200210221000110 has 128 divisors (see below), whose sum is σ = 500694276096000. Its totient is φ = 51180543797760.

The previous prime is 200210221000093. The next prime is 200210221000117. The reversal of 200210221000110 is 11000122012002.

200210221000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2002102210001103 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210221000117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48886756 + ... + 52823624.

It is an arithmetic number, because the mean of its divisors is an integer number (3911674032000).

Almost surely, 2200210221000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200210221000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250347138048000).

200210221000110 is an abundant number, since it is smaller than the sum of its proper divisors (300484055095890).

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

200210221000110 is a wasteful number, since it uses less digits than its factorization.

200210221000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937426.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200210221000110 its reverse (11000122012002), we get a palindrome (211210343012112).

The spelling of 200210221000110 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 93 149 155 186 298 310 367 447 465 734 745 894 930 1101 1490 1835 2202 2235 3670 4470 4619 5505 9238 11010 11377 13857 22754 23095 27714 34131 46190 54683 56885 68262 69285 109366 113770 138570 164049 170655 273415 328098 341310 546830 820245 1640490 1695173 3390346 3936869 5085519 7873738 8475865 10171038 11810607 16951730 19684345 23621214 25427595 39368690 50855190 59053035 118106070 122042939 244085878 366128817 586593481 610214695 732257634 1173186962 1220429390 1444830923 1759780443 1830644085 2889661846 2932967405 3519560886 3661288170 4334492769 5865934810 7224154615 8668985538 8798902215 14448309230 17597804430 18184397911 21672463845 36368795822 43344927690 44789758613 54553193733 89579517226 90921989555 109106387466 134369275839 181843979110 215279807527 223948793065 268738551678 272765968665 430559615054 447897586130 545531937330 645839422581 671846379195 1076399037635 1291678845162 1343692758390 2152798075270 3229197112905 6458394225810 6673674033337 13347348066674 20021022100011 33368370166685 40042044200022 66736740333370 100105110500055 200210221000110