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110120222201 = 1123137290113
BaseRepresentation
bin110011010001110101…
…1010011110111111001
3101112020110121220020012
41212203223103313321
53301011234102301
6122331042311305
710645611305333
oct1464353236771
9345213556205
10110120222201
1142779aa3900
1219413058535
13a4cc3a0cc2
14548915a453
152ce7943ebb
hex19a3ad3df9

110120222201 has 12 divisors (see below), whose sum is σ = 121080238356. Its totient is φ = 100077035520.

The previous prime is 110120222171. The next prime is 110120222207. The reversal of 110120222201 is 102222021011.

It can be written as a sum of positive squares in 2 ways, for example, as 67626522601 + 42493699600 = 260051^2 + 206140^2 .

It is a de Polignac number, because none of the positive numbers 2k-110120222201 is a prime.

It is a super-2 number, since 2×1101202222012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110120222207) 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 11 ways as a sum of consecutive naturals, for example, 234521 + ... + 524633.

It is an arithmetic number, because the mean of its divisors is an integer number (10090019863).

Almost surely, 2110120222201 is an apocalyptic number.

110120222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110120222201 is a deficient number, since it is larger than the sum of its proper divisors (10960016155).

110120222201 is a wasteful number, since it uses less digits than its factorization.

110120222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293272 (or 293261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110120222201 its reverse (102222021011), we get a palindrome (212342243212).

The spelling of 110120222201 in words is "one hundred ten billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 11 121 3137 34507 290113 379577 3191243 35103673 910084481 10010929291 110120222201