Search a number
-
+
211320110220201 = 32415212459447011
BaseRepresentation
bin110000000011000111001100…
…000110101000001110101001
31000201020000010211010210120100
4300003013030012220032221
5210144232041204021301
62025235041330020013
762340242220500223
oct6003071406501651
91021200124123510
10211320110220201
11613733a012a654
121b84b305417609
1390bb52999aac8
143a27d3b0b5413
151966dc3696286
hexc031cc1a83a9

211320110220201 has 48 divisors (see below), whose sum is σ = 313413308994240. Its totient is φ = 137124072384000.

The previous prime is 211320110219963. The next prime is 211320110220239. The reversal of 211320110220201 is 102022011023112.

211320110220201 is a `hidden beast` number, since 2 + 1 + 132 + 0 + 110 + 220 + 201 = 666.

It is not a de Polignac number, because 211320110220201 - 210 = 211320110219177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211320110220251) 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 47 ways as a sum of consecutive naturals, for example, 472516786 + ... + 472963796.

It is an arithmetic number, because the mean of its divisors is an integer number (6529443937380).

Almost surely, 2211320110220201 is an apocalyptic number.

It is an amenable number.

211320110220201 is a deficient number, since it is larger than the sum of its proper divisors (102093198774039).

211320110220201 is a wasteful number, since it uses less digits than its factorization.

211320110220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450038 (or 450035 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211320110220201 its reverse (102022011023112), we get a palindrome (313342121243313).

The spelling of 211320110220201 in words is "two hundred eleven trillion, three hundred twenty billion, one hundred ten million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 41 123 369 521 1563 2459 4689 7377 21361 22131 64083 100819 192249 302457 447011 907371 1281139 1341033 3843417 4023099 11530251 18327451 52526699 54982353 157580097 164947059 232892731 472740291 698678193 1099200049 2096034579 3297600147 9548601971 9892800441 28645805913 45067202009 85937417739 135201606027 405604818081 572683225529 1718049676587 5154149029761 23480012246689 70440036740067 211320110220201