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213223321311 = 3711131911333071
BaseRepresentation
bin1100011010010100011…
…0011010111011011111
3202101100220022000012120
43012211012122323133
511443140132240221
6241541535434023
721255605220120
oct3064506327337
9671326260176
10213223321311
1182478008220
12353a8085913
1317150a52260
14a46a380047
15582e2da5c6
hex31a519aedf

213223321311 has 128 divisors (see below), whose sum is σ = 405372764160. Its totient is φ = 96003532800.

The previous prime is 213223321291. The next prime is 213223321319. The reversal of 213223321311 is 113123322312.

It is not a de Polignac number, because 213223321311 - 27 = 213223321183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223321319) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6430906 + ... + 6463976.

It is an arithmetic number, because the mean of its divisors is an integer number (3166974720).

Almost surely, 2213223321311 is an apocalyptic number.

213223321311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213223321311 is a deficient number, since it is larger than the sum of its proper divisors (192149442849).

213223321311 is a wasteful number, since it uses less digits than its factorization.

213223321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33237.

The product of its digits is 1296, while the sum is 24.

Adding to 213223321311 its reverse (113123322312), we get a palindrome (326346643623).

The spelling of 213223321311 in words is "two hundred thirteen billion, two hundred twenty-three million, three hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 113 133 143 209 231 247 273 339 399 429 627 741 791 1001 1243 1463 1469 1729 2147 2373 2717 3003 3729 4389 4407 5187 6441 8151 8701 10283 15029 16159 19019 23617 26103 27911 30849 33071 45087 48477 57057 70851 83733 99213 113113 165319 195377 231497 307021 339339 363781 429923 495957 586131 628349 694491 921063 1091343 1289769 1885047 2149147 2546467 3009461 3737023 4398443 4729153 6447441 6911839 7639401 8168537 9028383 11211069 13195329 14187459 20735517 24505611 26159161 33104071 41107253 48382873 48581299 57179759 71003437 78477483 89853907 99312213 123321759 145148619 145743897 171539277 213010311 269561721 287750771 340069093 497024059 534394289 628977349 781037807 863252313 923044681 1020207279 1491072177 1603182867 1886932047 2343113421 2769134043 3740760023 5467264649 6461312767 10153491491 11222280069 16401793947 19383938301 30460474473 71074440437 213223321311