Search a number
-
+
110000101211 = 71113346131751
BaseRepresentation
bin110011001110010000…
…1000101011101011011
3101111221002121010012122
41212130201011131123
53300240011214321
6122311111531455
710642622301350
oct1463441053533
9344832533178
10110000101211
114271820a160
121939a989b8b
13a4b0533cb0
14547720c627
152cdc1178ab
hex199c84575b

110000101211 has 32 divisors (see below), whose sum is σ = 147739769856. Its totient is φ = 79095600000.

The previous prime is 110000101193. The next prime is 110000101241. The reversal of 110000101211 is 112101000011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110000101211 - 26 = 110000101147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110000101241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3448586 + ... + 3480336.

It is an arithmetic number, because the mean of its divisors is an integer number (4616867808).

Almost surely, 2110000101211 is an apocalyptic number.

110000101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110000101211 is a deficient number, since it is larger than the sum of its proper divisors (37739668645).

110000101211 is a wasteful number, since it uses less digits than its factorization.

110000101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35243.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110000101211 its reverse (112101000011), we get a palindrome (222101101222).

The spelling of 110000101211 in words is "one hundred ten billion, one hundred one thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 3461 24227 31751 38071 44993 222257 266497 314951 349261 412763 494923 2444827 2889341 3464461 4540393 31782751 109890211 769231477 1208792321 1428572743 8461546247 10000009201 15714300173 110000101211