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212010233213 = 17192967337817
BaseRepresentation
bin1100010101110011001…
…0110110110101111101
3202021020100122202011202
43011130302312311331
511433144104430323
6241221323025245
721213545151122
oct3053462666575
9667210582152
10212010233213
1181a05282179
123510996b225
1316cb962774c
14a393204749
1557aca66d28
hex315ccb6d7d

212010233213 has 32 divisors (see below), whose sum is σ = 248093539200. Its totient is φ = 179793782784.

The previous prime is 212010233209. The next prime is 212010233257. The reversal of 212010233213 is 312332010212.

It is a cyclic number.

It is not a de Polignac number, because 212010233213 - 22 = 212010233209 is a prime.

It is a super-3 number, since 3×2120102332133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010230213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 458681 + ... + 796497.

It is an arithmetic number, because the mean of its divisors is an integer number (7752923100).

Almost surely, 2212010233213 is an apocalyptic number.

It is an amenable number.

212010233213 is a deficient number, since it is larger than the sum of its proper divisors (36083305987).

212010233213 is a wasteful number, since it uses less digits than its factorization.

212010233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337949.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 212010233213 its reverse (312332010212), we get a palindrome (524342243425).

The spelling of 212010233213 in words is "two hundred twelve billion, ten million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 17 19 29 67 323 493 551 1139 1273 1943 9367 21641 33031 36917 337817 627589 5742889 6418523 9796693 22633739 109114891 166543781 186137167 384773563 430041041 656378431 3164331839 7310697697 11158433327 12471190189 212010233213