Search a number
-
+
211101020221 = 71323212493511
BaseRepresentation
bin1100010010011010011…
…0011111000000111101
3202011212222210221102111
43010212212133000331
511424313330121341
6240551203254021
721152165031310
oct3044646370075
9664788727374
10211101020221
1181589027a83
1234ab537a311
1316ba31567b0
14a30856a977
155757d1a681
hex312699f03d

211101020221 has 48 divisors (see below), whose sum is σ = 271899040000. Its totient is φ = 159589647360.

The previous prime is 211101020219. The next prime is 211101020231. The reversal of 211101020221 is 122020101112.

211101020221 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 211101020221 - 21 = 211101020219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101020231) 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, 60123856 + ... + 60127366.

Almost surely, 2211101020221 is an apocalyptic number.

It is an amenable number.

211101020221 is a deficient number, since it is larger than the sum of its proper divisors (60798019779).

211101020221 is a wasteful number, since it uses less digits than its factorization.

211101020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211101020221 its reverse (122020101112), we get a palindrome (333121121333).

The spelling of 211101020221 in words is "two hundred eleven billion, one hundred one million, twenty thousand, two hundred twenty-one".

Divisors: 1 7 13 23 91 161 299 529 1249 2093 3511 3703 6877 8743 16237 24577 28727 45643 48139 80753 113659 201089 319501 373451 565271 660721 1049789 1857319 2614157 4385239 4625047 7348523 8589373 13001233 24145147 30696673 57008107 60125611 100860497 169016029 399056749 706023479 1311186461 2319791431 9178305227 16238540017 30157288603 211101020221