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212101010 = 2511171011123
BaseRepresentation
bin11001010010001…
…10011110010010
3112210002211212222
430221012132102
5413244213020
633014021042
75153554202
oct1451063622
9483084788
10212101010
11a97a86a0
125b047782
1334c33274
1420252402
1513949b25
hexca46792

212101010 has 64 divisors (see below), whose sum is σ = 445751424. Its totient is φ = 71808000.

The previous prime is 212100961. The next prime is 212101013. The reversal of 212101010 is 10101212.

212101010 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 not an unprimeable number, because it can be changed into a prime (212101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188309 + ... + 189431.

It is an arithmetic number, because the mean of its divisors is an integer number (6964866).

Almost surely, 2212101010 is an apocalyptic number.

212101010 is an abundant number, since it is smaller than the sum of its proper divisors (233650414).

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

212101010 is a wasteful number, since it uses less digits than its factorization.

212101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 212101010 is about 14563.6880631247. The cubic root of 212101010 is about 596.3678812969.

Adding to 212101010 its reverse (10101212), we get a palindrome (222202222).

The spelling of 212101010 in words is "two hundred twelve million, one hundred one thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 101 110 170 187 202 374 505 935 1010 1111 1123 1717 1870 2222 2246 3434 5555 5615 8585 11110 11230 12353 17170 18887 19091 24706 37774 38182 61765 94435 95455 113423 123530 188870 190910 210001 226846 420002 567115 1050005 1134230 1247653 1928191 2100010 2495306 3856382 6238265 9640955 12476530 19281910 21210101 42420202 106050505 212101010