Search a number
-
+
211002223311 = 32112131335589
BaseRepresentation
bin1100010010000010110…
…1100110101011001111
3202011122002220112112200
43010200231212223033
511424113032121221
6240533313532543
721146555206545
oct3044055465317
9664562815480
10211002223311
1181538288440
1234a88274153
1316b88844799
14a2d93add95
15574e302426
hex3120b66acf

211002223311 has 12 divisors (see below), whose sum is σ = 332488352040. Its totient is φ = 127880135280.

The previous prime is 211002223297. The next prime is 211002223337. The reversal of 211002223311 is 113322200112.

211002223311 is a `hidden beast` number, since 2 + 110 + 0 + 222 + 331 + 1 = 666.

211002223311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211002223311 - 218 = 211001961167 is a prime.

It is a super-2 number, since 2×2110022233112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002223391) 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 11 ways as a sum of consecutive naturals, for example, 1065667696 + ... + 1065667893.

It is an arithmetic number, because the mean of its divisors is an integer number (27707362670).

Almost surely, 2211002223311 is an apocalyptic number.

211002223311 is a deficient number, since it is larger than the sum of its proper divisors (121486128729).

211002223311 is a wasteful number, since it uses less digits than its factorization.

211002223311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131335606 (or 2131335603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211002223311 its reverse (113322200112), we get a palindrome (324324423423).

The spelling of 211002223311 in words is "two hundred eleven billion, two million, two hundred twenty-three thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 2131335589 6394006767 19182020301 23444691479 70334074437 211002223311