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110120112221 = 722979499749
BaseRepresentation
bin110011010001110101…
…0111001000001011101
3101112020110102022100212
41212203222321001131
53301011222042341
6122331040102205
710645610336600
oct1464352710135
9345213368325
10110120112221
1142779a29209
1219413004965
13a4cc362c22
14548912c337
152ce79215eb
hex19a3ab905d

110120112221 has 24 divisors (see below), whose sum is σ = 132546375000. Its totient is φ = 91113074304.

The previous prime is 110120112211. The next prime is 110120112227. The reversal of 110120112221 is 122211021011.

It can be written as a sum of positive squares in 4 ways, for example, as 4178976025 + 105941136196 = 64645^2 + 325486^2 .

It is not a de Polignac number, because 110120112221 - 210 = 110120111197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110120112196 and 110120112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120112227) 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 23 ways as a sum of consecutive naturals, for example, 11290655 + ... + 11300403.

It is an arithmetic number, because the mean of its divisors is an integer number (5522765625).

Almost surely, 2110120112221 is an apocalyptic number.

It is an amenable number.

110120112221 is a deficient number, since it is larger than the sum of its proper divisors (22426262779).

110120112221 is an equidigital number, since it uses as much as digits as its factorization.

110120112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17741 (or 17734 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110120112221 its reverse (122211021011), we get a palindrome (232331133232).

The spelling of 110120112221 in words is "one hundred ten billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 7 29 49 203 1421 7949 9749 55643 68243 230521 282721 389501 477701 1613647 1979047 11295529 13853329 77494801 542463607 2247349229 3797245249 15731444603 110120112221