Search a number
-
+
210213110300 = 225253193205507
BaseRepresentation
bin1100001111000110101…
…1011000001000011100
3202002121010001102222212
43003301223120020130
511421004024012200
6240323124255552
721121163645534
oct3036153301034
9662533042885
10210213110300
1181172903126
12348a7b415b8
1316a912040cb
14a26267a4c4
155704dcb035
hex30f1ad821c

210213110300 has 72 divisors (see below), whose sum is σ = 467179692336. Its totient is φ = 82070876160.

The previous prime is 210213110293. The next prime is 210213110311. The reversal of 210213110300 is 3011312012.

It is a congruent number.

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, 920147 + ... + 1125653.

It is an arithmetic number, because the mean of its divisors is an integer number (6488606838).

Almost surely, 2210213110300 is an apocalyptic number.

210213110300 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 210213110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233589846168).

210213110300 is an abundant number, since it is smaller than the sum of its proper divisors (256966582036).

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

210213110300 is a wasteful number, since it uses less digits than its factorization.

210213110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205767 (or 205760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 210213110300 its reverse (3011312012), we get a palindrome (213224422312).

The spelling of 210213110300 in words is "two hundred ten billion, two hundred thirteen million, one hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 193 212 265 386 530 772 965 1060 1325 1930 2650 3860 4825 5300 9650 10229 19300 20458 40916 51145 102290 204580 205507 255725 411014 511450 822028 1022900 1027535 2055070 4110140 5137675 10275350 10891871 20550700 21783742 39662851 43567484 54459355 79325702 108918710 158651404 198314255 217837420 272296775 396628510 544593550 793257020 991571275 1089187100 1983142550 2102131103 3966285100 4204262206 8408524412 10510655515 21021311030 42042622060 52553277575 105106555150 210213110300