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210021201102210 = 235173128573464917
BaseRepresentation
bin101111110000001101011111…
…000101100100010110000010
31000112121211102121110220010120
4233300031133011210112002
5210011441404440232320
62022402224031441110
762144350102244541
oct5760153705442602
91015554377426116
10210021201102210
1160a12544865243
121b67b623386196
139025bb68b10a4
1439c111a774158
151943200405440
hexbf035f164582

210021201102210 has 128 divisors (see below), whose sum is σ = 550937559803904. Its totient is φ = 51008947015680.

The previous prime is 210021201102191. The next prime is 210021201102269. The reversal of 210021201102210 is 12201102120012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 210021201102210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451506672 + ... + 451971588.

It is an arithmetic number, because the mean of its divisors is an integer number (4304199685968).

Almost surely, 2210021201102210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210021201102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275468779901952).

210021201102210 is an abundant number, since it is smaller than the sum of its proper divisors (340916358701694).

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

210021201102210 is a wasteful number, since it uses less digits than its factorization.

210021201102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493548.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210021201102210 its reverse (12201102120012), we get a palindrome (222222303222222).

The spelling of 210021201102210 in words is "two hundred ten trillion, twenty-one billion, two hundred one million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7905 15810 28573 57146 85719 142865 171438 285730 428595 464917 485741 857190 885763 929834 971482 1394751 1457223 1771526 2324585 2428705 2657289 2789502 2914446 4428815 4649170 4857410 5314578 6973755 7286115 7903589 8857630 13286445 13947510 14412427 14572230 15057971 15807178 23710767 26572890 28824854 30115942 39517945 43237281 45173913 47421534 72062135 75289855 79035890 86474562 90347826 118553835 144124270 150579710 216186405 225869565 237107670 245011259 432372810 451739130 490022518 735033777 1225056295 1470067554 2450112590 3675168885 7350337770 13284073441 26568146882 39852220323 66420367205 79704440646 132840734410 199261101615 225829248497 398522203230 411806276671 451658496994 677487745491 823612553342 1129146242485 1235418830013 1354975490982 2059031383355 2258292484970 2470837660026 3387438727455 4118062766710 6177094150065 6774877454910 7000706703407 12354188300130 14001413406814 21002120110221 35003533517035 42004240220442 70007067034070 105010600551105 210021201102210