Search a number
-
+
211311243032401 = 17533372857243589
BaseRepresentation
bin110000000010111110111011…
…100100111111011101010001
31000201012011020211221222122101
4300002332323210333131101
5210144110411204014101
62025231013411240401
762336506406601601
oct6002767344773521
91021164224858571
10211311243032401
116136a65a901176
121b84964b8a9101
1390ba7458ac315
143a27739592c01
151966a54ea1401
hexc02fbb93f751

211311243032401 has 32 divisors (see below), whose sum is σ = 228720264757920. Its totient is φ = 194480783917056.

The previous prime is 211311243032389. The next prime is 211311243032411. The reversal of 211311243032401 is 104230342113112.

It can be written as a sum of positive squares in 16 ways, for example, as 48789540472401 + 162521702560000 = 6984951^2 + 12748400^2 .

It is not a de Polignac number, because 211311243032401 - 213 = 211311243024209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211311243032401.

It is not an unprimeable number, because it can be changed into a prime (211311243032411) 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, 867369115 + ... + 867612703.

It is an arithmetic number, because the mean of its divisors is an integer number (7147508273685).

Almost surely, 2211311243032401 is an apocalyptic number.

It is an amenable number.

211311243032401 is a deficient number, since it is larger than the sum of its proper divisors (17409021725519).

211311243032401 is a wasteful number, since it uses less digits than its factorization.

211311243032401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246853.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 211311243032401 its reverse (104230342113112), we get a palindrome (315541585145513).

The spelling of 211311243032401 in words is "two hundred eleven trillion, three hundred eleven billion, two hundred forty-three million, thirty-two thousand, four hundred one".

Divisors: 1 17 53 337 901 2857 5729 17861 48569 151421 243589 303637 962809 2574157 4141013 12910217 16367753 51028877 82089493 219473689 695933773 867490909 1395521381 4350743129 11830874141 36884489969 73962633193 234529681501 627036329473 3987004585517 12430073119553 211311243032401