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110222101311231 = 37133122695739973
BaseRepresentation
bin11001000011111100010101…
…001100011110111011111111
3112110021010111202100101222010
4121003330111030132323333
5103421334330413424411
61030231200113422303
732134166264515350
oct3103742514367377
9473233452311863
10110222101311231
1132135a26784668
121044194686a993
134966b90424b90
141d30ac7415d27
15cb21e31287a6
hex643f1531eeff

110222101311231 has 64 divisors (see below), whose sum is σ = 186794366689280. Its totient is φ = 56238868062720.

The previous prime is 110222101311211. The next prime is 110222101311299. The reversal of 110222101311231 is 132113101222011.

It is not a de Polignac number, because 110222101311231 - 27 = 110222101311103 is a prime.

It is a super-2 number, since 2×1102221013112312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 110222101311198 and 110222101311207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110222101311211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16332561 + ... + 22072533.

It is an arithmetic number, because the mean of its divisors is an integer number (2918661979520).

Almost surely, 2110222101311231 is an apocalyptic number.

110222101311231 is a deficient number, since it is larger than the sum of its proper divisors (76572265378049).

110222101311231 is a wasteful number, since it uses less digits than its factorization.

110222101311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742296.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 110222101311231 its reverse (132113101222011), we get a palindrome (242335202533242).

The spelling of 110222101311231 in words is "one hundred ten trillion, two hundred twenty-two billion, one hundred one million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1209 2269 2821 6807 8463 15883 29497 47649 70339 88491 206479 211017 492373 619437 914407 1477119 2743221 5739973 6400849 17219919 19202547 40179811 74619649 120539433 177939163 223858947 522337543 533817489 1245574141 1567012629 2313209119 3736722423 6939627357 13023998737 16192463833 39071996211 48577391499 91167991159 169311983581 273503973477 403743960847 507935950743 1185183885067 1211231882541 2826207725929 3555551655201 5248671491011 8478623177787 15746014473033 36740700437077 110222101311231