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20321311311 = 3272613172383
BaseRepresentation
bin10010111011001111…
…101001101001001111
31221110020010120111200
4102323033221221033
5313104223430221
613200244120543
71316403203400
oct227317515117
957406116450
1020321311311
118688939a64
123b31696153
131bbb127982
14daac459a7
157de089426
hex4bb3e9a4f

20321311311 has 72 divisors (see below), whose sum is σ = 34829181504. Its totient is φ = 11381005440.

The previous prime is 20321311289. The next prime is 20321311337. The reversal of 20321311311 is 11311312302.

20321311311 is a `hidden beast` number, since 2 + 0 + 321 + 31 + 1 + 311 = 666.

It is not a de Polignac number, because 20321311311 - 29 = 20321310799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321311111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8526426 + ... + 8528808.

It is an arithmetic number, because the mean of its divisors is an integer number (483738632).

Almost surely, 220321311311 is an apocalyptic number.

20321311311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20321311311 is a deficient number, since it is larger than the sum of its proper divisors (14507870193).

20321311311 is a wasteful number, since it uses less digits than its factorization.

20321311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20321311311 its reverse (11311312302), we get a palindrome (31632623613).

Subtracting from 20321311311 its reverse (11311312302), we obtain a palindrome (9009999009).

The spelling of 20321311311 in words is "twenty billion, three hundred twenty-one million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 7 9 21 49 61 63 147 183 317 427 441 549 951 1281 2219 2383 2853 2989 3843 6657 7149 8967 15533 16681 19337 19971 21447 26901 46599 50043 58011 116767 135359 139797 145363 150129 174033 350301 406077 436089 755411 947513 1017541 1050903 1218231 1308267 2266233 2842539 3052623 5287877 6798699 7122787 8527617 9157869 15863631 21368361 37015139 46080071 47590893 64105083 111045417 138240213 322560497 333136251 414720639 967681491 2257923479 2903044473 6773770437 20321311311