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110210101221 = 311101211315649
BaseRepresentation
bin110011010100100001…
…0001010111111100101
3101112110201202020001210
41212221002022333211
53301202241214341
6122344012542033
710651052255313
oct1465102127745
9345421666053
10110210101221
1142815802290
1219439181919
13a514bacb5c
1454970750b3
152d00799c16
hex19a908afe5

110210101221 has 32 divisors (see below), whose sum is σ = 161979753600. Its totient is φ = 66097152000.

The previous prime is 110210101147. The next prime is 110210101223. The reversal of 110210101221 is 122101012011.

It is not a de Polignac number, because 110210101221 - 221 = 110208004069 is a prime.

It is a super-2 number, since 2×1102101012212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110210101197 and 110210101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110210101223) 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, 7034805 + ... + 7050453.

It is an arithmetic number, because the mean of its divisors is an integer number (5061867300).

Almost surely, 2110210101221 is an apocalyptic number.

110210101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110210101221 is a deficient number, since it is larger than the sum of its proper divisors (51769652379).

110210101221 is a wasteful number, since it uses less digits than its factorization.

110210101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17877.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110210101221 its reverse (122101012011), we get a palindrome (232311113232).

The spelling of 110210101221 in words is "one hundred ten billion, two hundred ten million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 2113 3333 6339 15649 23243 46947 69729 172139 213413 516417 640239 1580549 2347543 4741647 7042629 17386039 33066337 52158117 99199011 363729707 1091189121 3339700037 10019100111 36736700407 110210101221