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212121210 = 235773101137
BaseRepresentation
bin11001010010010…
…11011001111010
3112210010212121010
430221023121322
5413300334320
633014254350
75154000120
oct1451133172
9483125533
10212121210
11a9811894
125b0573b6
1334c3c512
1420259910
1513950ae0
hexca4b67a

212121210 has 128 divisors (see below), whose sum is σ = 599975424. Its totient is φ = 47001600.

The previous prime is 212121209. The next prime is 212121289. The reversal of 212121210 is 12121212.

212121210 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548262 + ... + 1548398.

It is an arithmetic number, because the mean of its divisors is an integer number (4687308).

Almost surely, 2212121210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299987712).

212121210 is an abundant number, since it is smaller than the sum of its proper divisors (387854214).

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

212121210 is a wasteful number, since it uses less digits than its factorization.

212121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

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

The square root of 212121210 is about 14564.3815522665. The cubic root of 212121210 is about 596.3868129195.

Adding to 212121210 its reverse (12121212), we get a palindrome (224242422).

It can be divided in two parts, 21212 and 1210, that added together give a palindrome (22422).

The spelling of 212121210 in words is "two hundred twelve million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 101 105 137 146 202 210 219 274 303 365 411 438 505 511 606 685 707 730 822 959 1010 1022 1095 1370 1414 1515 1533 1918 2055 2121 2190 2555 2877 3030 3066 3535 4110 4242 4795 5110 5754 7070 7373 7665 9590 10001 10605 13837 14385 14746 15330 20002 21210 22119 27674 28770 30003 36865 41511 44238 50005 51611 60006 69185 70007 73730 83022 96859 100010 103222 110595 138370 140014 150015 154833 193718 207555 210021 221190 258055 290577 300030 309666 350035 415110 420042 484295 516110 581154 700070 774165 968590 1010101 1050105 1452885 1548330 2020202 2100210 2905770 3030303 5050505 6060606 7070707 10101010 14141414 15151515 21212121 30303030 35353535 42424242 70707070 106060605 212121210