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210000210120210 = 235231993121948989
BaseRepresentation
bin101111101111111001111011…
…111011010100111000010010
31000112112211020201020112010210
4233233321323323110320102
5210011120412242321320
62022344433102104550
762143004654656356
oct5757717373247022
91015484221215123
10210000210120210
1160a04652a11834
121b67754557b156
139023c1cb05b93
1439c00c8a0b466
1519428c268a0e0
hexbefe7bed4e12

210000210120210 has 128 divisors (see below), whose sum is σ = 528584071680000. Its totient is φ = 53293303717632.

The previous prime is 210000210120209. The next prime is 210000210120247. The reversal of 210000210120210 is 12021012000012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4286656396 + ... + 4286705384.

It is an arithmetic number, because the mean of its divisors is an integer number (4129563060000).

Almost surely, 2210000210120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210000210120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264292035840000).

210000210120210 is an abundant number, since it is smaller than the sum of its proper divisors (318583861559790).

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

210000210120210 is a wasteful number, since it uses less digits than its factorization.

210000210120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80440.

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

Adding to 210000210120210 its reverse (12021012000012), we get a palindrome (222021222120222).

The spelling of 210000210120210 in words is "two hundred ten trillion, two hundred ten million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 199 230 345 398 597 690 995 1194 1990 2985 4577 5970 9154 13731 22885 27462 31219 45770 48989 62438 68655 93657 97978 137310 146967 156095 187314 244945 293934 312190 468285 489890 718037 734835 936570 1126747 1436074 1469670 2154111 2253494 3380241 3590185 4308222 5633735 6212581 6760482 7180370 9748811 10770555 11267470 12425162 16901205 18637743 19497622 21541110 29246433 31062905 33802410 37275486 48744055 58492866 62125810 93188715 97488110 142889363 146232165 186377430 224222653 285778726 292464330 428668089 448445306 672667959 714446815 857336178 1121113265 1345335918 1428893630 1529387591 2143340445 2242226530 3058775182 3363339795 4286680890 4588162773 6726679590 7646937955 9176325546 15293875910 22940813865 35175914593 45881627730 70351829186 105527743779 175879572965 211055487558 304348130609 351759145930 527638718895 608696261218 913044391827 1055277437790 1521740653045 1826088783654 3043481306090 4565221959135 7000007004007 9130443918270 14000014008014 21000021012021 35000035020035 42000042024042 70000070040070 105000105060105 210000210120210