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211123132311 = 371317371229483
BaseRepresentation
bin1100010010011111101…
…0110101011110010111
3202011221112102100111210
43010213322311132113
511424340010213221
6240553313232503
721152554005120
oct3044772653627
9664845370453
10211123132311
118159a560133
1234b00862733
1316ba78c9380
14a30b485047
155759c37276
hex3127eb5797

211123132311 has 64 divisors (see below), whose sum is σ = 376753241088. Its totient is φ = 101978155008.

The previous prime is 211123132303. The next prime is 211123132349. The reversal of 211123132311 is 113231321112.

It is not a de Polignac number, because 211123132311 - 23 = 211123132303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211123132391) 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, 443025 + ... + 786458.

It is an arithmetic number, because the mean of its divisors is an integer number (5886769392).

Almost surely, 2211123132311 is an apocalyptic number.

211123132311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211123132311 is a deficient number, since it is larger than the sum of its proper divisors (165630108777).

211123132311 is a wasteful number, since it uses less digits than its factorization.

211123132311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229560.

The product of its digits is 216, while the sum is 21.

Adding to 211123132311 its reverse (113231321112), we get a palindrome (324354453423).

The spelling of 211123132311 in words is "two hundred eleven billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 7 13 17 21 37 39 51 91 111 119 221 259 273 357 481 629 663 777 1443 1547 1887 3367 4403 4641 8177 10101 13209 24531 57239 171717 1229483 3688449 8606381 15983279 20901211 25819143 45490871 47949837 62703633 111882953 136472613 146308477 271715743 318436097 335648859 438925431 591381323 773344807 815147229 955308291 1774143969 1902010201 2320034421 4139669261 5413413649 5706030603 10053482491 12419007783 16240240947 30160447473 70374377437 211123132311