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213216311 = 71137671117
BaseRepresentation
bin11001011010101…
…10110000110111
3112212012111210102
430231112300313
5414040410221
633053544315
75166210620
oct1455266067
9485174712
10213216311
11aa39a630
125b4a509b
1335233ac9
1420462a47
1513aba30b
hexcb56c37

213216311 has 32 divisors (see below), whose sum is σ = 277335552. Its totient is φ = 159096960.

The previous prime is 213216287. The next prime is 213216319. The reversal of 213216311 is 113612312.

It is not a de Polignac number, because 213216311 - 26 = 213216247 is a prime.

It is a super-2 number, since 2×2132163112 = 90922390552897442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213216319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190325 + ... + 191441.

It is an arithmetic number, because the mean of its divisors is an integer number (8666736).

Almost surely, 2213216311 is an apocalyptic number.

213216311 is a deficient number, since it is larger than the sum of its proper divisors (64119241).

213216311 is a wasteful number, since it uses less digits than its factorization.

213216311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239.

The product of its digits is 216, while the sum is 20.

The square root of 213216311 is about 14601.9283315595. The cubic root of 213216311 is about 597.4113577995.

Adding to 213216311 its reverse (113612312), we get a palindrome (326828623).

The spelling of 213216311 in words is "two hundred thirteen million, two hundred sixteen thousand, three hundred eleven".

Divisors: 1 7 11 37 67 77 259 407 469 737 1117 2479 2849 5159 7819 12287 17353 27269 41329 74839 86009 190883 289303 454619 523873 823229 2769043 3182333 5762603 19383301 30459473 213216311