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212131010 = 257131912269
BaseRepresentation
bin11001010010011…
…01110011000010
3112210011101001002
430221031303002
5413301143020
633014412002
75154040520
oct1451156302
9483141032
10212131010
11a9819193
125b061002
1334c43b10
142025d310
1513953975
hexca4dcc2

212131010 has 64 divisors (see below), whose sum is σ = 494726400. Its totient is φ = 63597312.

The previous prime is 212131009. The next prime is 212131013. The reversal of 212131010 is 10131212.

It is a junction number, because it is equal to n+sod(n) for n = 212130982 and 212131000.

It is not an unprimeable number, because it can be changed into a prime (212131013) 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, 11156 + ... + 23424.

It is an arithmetic number, because the mean of its divisors is an integer number (7730100).

Almost surely, 2212131010 is an apocalyptic number.

212131010 is an abundant number, since it is smaller than the sum of its proper divisors (282595390).

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

212131010 is a wasteful number, since it uses less digits than its factorization.

212131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 212131010 is about 14564.7179855979. The cubic root of 212131010 is about 596.3959971350.

Adding to 212131010 its reverse (10131212), we get a palindrome (222262222).

The spelling of 212131010 in words is "two hundred twelve million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 65 70 91 95 130 133 182 190 247 266 455 494 665 910 1235 1330 1729 2470 3458 8645 12269 17290 24538 61345 85883 122690 159497 171766 233111 318994 429415 466222 797485 858830 1116479 1165555 1594970 1631777 2232958 2331110 3030443 3263554 5582395 6060886 8158885 11164790 15152215 16317770 21213101 30304430 42426202 106065505 212131010