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212003311 = 131719291741
BaseRepresentation
bin11001010001011…
…10100111101111
3112202220212212111
430220232213233
5413233101221
633011544451
75152666312
oct1450564757
9482825774
10212003311
11a9741253
125abbb127
1334bca960
1420228979
151392abe1
hexca2e9ef

212003311 has 32 divisors (see below), whose sum is σ = 263390400. Its totient is φ = 168376320.

The previous prime is 212003299. The next prime is 212003317. The reversal of 212003311 is 113300212.

It is not a de Polignac number, because 212003311 - 25 = 212003279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 212003291 and 212003300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212003317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120901 + ... + 122641.

It is an arithmetic number, because the mean of its divisors is an integer number (8230950).

Almost surely, 2212003311 is an apocalyptic number.

212003311 is a deficient number, since it is larger than the sum of its proper divisors (51387089).

212003311 is a wasteful number, since it uses less digits than its factorization.

212003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 212003311 is about 14560.3334783239. Note that the first 3 decimals coincide. The cubic root of 212003311 is about 596.2762999415.

Adding to 212003311 its reverse (113300212), we get a palindrome (325303523).

The spelling of 212003311 in words is "two hundred twelve million, three thousand, three hundred eleven".

Divisors: 1 13 17 19 29 221 247 323 377 493 551 1741 4199 6409 7163 9367 22633 29597 33079 50489 121771 384761 430027 562343 656357 858313 959291 7310459 11158069 12470783 16307947 212003311