Search a number
-
+
211120200011205 = 32541252143453823
BaseRepresentation
bin110000000000001101000000…
…100001101100110111000101
31000200111220010201210222011200
4300000031000201230313011
5210132443132200324310
62025003140404253113
762316634236655452
oct6000150041546705
91020456121728150
10211120200011205
11612a66350177a1
121b8186139a1199
1390a571b159704
143a1c3b4cc8829
151961ac305b9c0
hexc0034086cdc5

211120200011205 has 48 divisors (see below), whose sum is σ = 374869399597056. Its totient is φ = 109850483255040.

The previous prime is 211120200011143. The next prime is 211120200011213. The reversal of 211120200011205 is 502110002021112.

It is not a de Polignac number, because 211120200011205 - 217 = 211120199880133 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464976924 + ... + 465430746.

It is an arithmetic number, because the mean of its divisors is an integer number (7809779158272).

Almost surely, 2211120200011205 is an apocalyptic number.

It is an amenable number.

211120200011205 is a deficient number, since it is larger than the sum of its proper divisors (163749199585851).

211120200011205 is a wasteful number, since it uses less digits than its factorization.

211120200011205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706018 (or 706015 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 211120200011205 its reverse (502110002021112), we get a palindrome (713230202032317).

The spelling of 211120200011205 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, eleven thousand, two hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 252143 453823 756429 1260715 1361469 2269115 2269287 3782145 4084407 6807345 10337863 11346435 18606743 20422035 31013589 51689315 55820229 93033715 93040767 155067945 167460687 279101145 465203835 837303435 114428292689 343284878067 572141463445 1029854634201 1716424390335 4691560000249 5149273171005 14074680000747 23457800001245 42224040002241 70373400003735 211120200011205