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210002102220 = 2235127137201163
BaseRepresentation
bin1100001110010100011…
…0011100011111001100
3202002001102000010022210
43003211012130133030
511420041014232340
6240250145510420
721113022262611
oct3034506343714
9662042003283
10210002102220
1181074791689
1234849342410
1316a59594461
14a242630508
1556e15ea180
hex30e519c7cc

210002102220 has 96 divisors (see below), whose sum is σ = 596964630528. Its totient is φ = 55153792512.

The previous prime is 210002102203. The next prime is 210002102231. The reversal of 210002102220 is 22201200012.

210002102220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 210002102196 and 210002102205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943359 + ... + 1144521.

It is an arithmetic number, because the mean of its divisors is an integer number (6218381568).

Almost surely, 2210002102220 is an apocalyptic number.

210002102220 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 210002102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298482315264).

210002102220 is an abundant number, since it is smaller than the sum of its proper divisors (386962528308).

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

210002102220 is a wasteful number, since it uses less digits than its factorization.

210002102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201439 (or 201437 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210002102220 its reverse (22201200012), we get a palindrome (232203302232).

The spelling of 210002102220 in words is "two hundred ten billion, two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 137 254 274 381 411 508 548 635 685 762 822 1270 1370 1524 1644 1905 2055 2540 2740 3810 4110 7620 8220 17399 34798 52197 69596 86995 104394 173990 201163 208788 260985 347980 402326 521970 603489 804652 1005815 1043940 1206978 2011630 2413956 3017445 4023260 6034890 12069780 25547701 27559331 51095402 55118662 76643103 82677993 102190804 110237324 127738505 137796655 153286206 165355986 255477010 275593310 306572412 330711972 383215515 413389965 510954020 551186620 766431030 826779930 1532862060 1653559860 3500035037 7000070074 10500105111 14000140148 17500175185 21000210222 35000350370 42000420444 52500525555 70000700740 105001051110 210002102220