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211323210211311 = 31110378782395989
BaseRepresentation
bin110000000011001010000100…
…111000001001111111101111
31000201020022010212022122220220
4300003022010320021333233
5210144304413303230221
62025240313105342423
762340412102130202
oct6003120470117757
91021208125278826
10211323210211311
1161374740a85880
121b84ba2b637a13
1390bb901cc1a83
143a28152aa9939
1519670058dc0c6
hexc03284e09fef

211323210211311 has 64 divisors (see below), whose sum is σ = 311138674728960. Its totient is φ = 126514840947840.

The previous prime is 211323210211307. The next prime is 211323210211339. The reversal of 211323210211311 is 113112012323112.

It is not a de Polignac number, because 211323210211311 - 22 = 211323210211307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323210212311) 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 63 ways as a sum of consecutive naturals, for example, 2201487705 + ... + 2201583693.

It is an arithmetic number, because the mean of its divisors is an integer number (4861541792640).

Almost surely, 2211323210211311 is an apocalyptic number.

211323210211311 is a deficient number, since it is larger than the sum of its proper divisors (99815464517649).

211323210211311 is a wasteful number, since it uses less digits than its factorization.

211323210211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97716.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 211323210211311 its reverse (113112012323112), we get a palindrome (324435222534423).

The spelling of 211323210211311 in words is "two hundred eleven trillion, three hundred twenty-three billion, two hundred ten million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 3 11 33 103 309 787 823 1133 2361 2469 3399 8657 9053 25971 27159 81061 84769 95989 243183 254307 287967 647701 891671 932459 1055879 1943103 2675013 2797377 3167637 7124711 9886867 21374133 29660601 66713203 75543343 78998947 108755537 200139609 226630029 236996841 326266611 733845233 830976773 868988417 2201535699 2492930319 2606965251 7780964329 8136891541 23342892987 24410674623 62172171289 85590607619 89505806951 186516513867 256771822857 268517420853 683893884179 2051681652537 6403733642767 19211200928301 70441070070437 211323210211311