Search a number
-
+
110121220011222 = 232710137781229037
BaseRepresentation
bin11001000010011110011000…
…001100110111010011010110
3112102220111010011101101101100
4121002132120030313103112
5103413211224310324342
61030112553505210530
732123665326564150
oct3102363014672326
9472814104341340
10110121220011222
11320a7168929852
1210426291930a46
13495a504168554
141d29c77305ad0
15cae78b857e4c
hex6427983374d6

110121220011222 has 96 divisors (see below), whose sum is σ = 275389420497984. Its totient is φ = 31150728288000.

The previous prime is 110121220011157. The next prime is 110121220011223. The reversal of 110121220011222 is 222110022121011.

110121220011222 is a `hidden beast` number, since 110 + 121 + 2 + 200 + 11 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110121220011195 and 110121220011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121220011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480686488 + ... + 480915524.

It is an arithmetic number, because the mean of its divisors is an integer number (2868639796854).

Almost surely, 2110121220011222 is an apocalyptic number.

110121220011222 is an abundant number, since it is smaller than the sum of its proper divisors (165268200486762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110121220011222 is a wasteful number, since it uses less digits than its factorization.

110121220011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266934 (or 266931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110121220011222 its reverse (222110022121011), we get a palindrome (332231242132233).

The spelling of 110121220011222 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred twenty million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 37781 75562 113343 226686 229037 264467 340029 458074 528934 680058 687111 793401 1374222 1586802 1603259 2061333 2380203 3206518 3815881 4122666 4760406 4809777 7631762 9619554 11447643 14429331 22895286 23132737 26711167 28858662 34342929 46265474 53422334 68685858 69398211 80133501 138796422 160267002 161929159 208194633 240400503 323858318 416389266 480801006 485787477 971574954 1457362431 2914724862 8653246897 17306493794 25959740691 51919481382 60572728279 77879222073 121145456558 155758444146 181718184837 363436369674 545154554511 873977936597 1090309109022 1747955873194 2621933809791 5243867619582 6117845556179 7865801429373 12235691112358 15731602858746 18353536668537 36707073337074 55060610005611 110121220011222