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110122212213 = 32131729413461
BaseRepresentation
bin110011010001111001…
…0111001101101110101
3101112020121101000000100
41212203302321231311
53301012241242323
6122331153104313
710645634234166
oct1464362715565
9345217330010
10110122212213
1142780132a42
1219413858099
13a4cc919a20
14548951776d
152ce7bd8943
hex19a3cb9b75

110122212213 has 72 divisors (see below), whose sum is σ = 182216512296. Its totient is φ = 63695001600.

The previous prime is 110122212199. The next prime is 110122212241. The reversal of 110122212213 is 312212221011.

It can be written as a sum of positive squares in 12 ways, for example, as 16245541764 + 93876670449 = 127458^2 + 306393^2 .

It is not a de Polignac number, because 110122212213 - 25 = 110122212181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122212293) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31816303 + ... + 31819763.

It is an arithmetic number, because the mean of its divisors is an integer number (2530784893).

Almost surely, 2110122212213 is an apocalyptic number.

110122212213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110122212213 is a deficient number, since it is larger than the sum of its proper divisors (72094300083).

110122212213 is a wasteful number, since it uses less digits than its factorization.

110122212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110122212213 its reverse (312212221011), we get a palindrome (422334433224).

The spelling of 110122212213 in words is "one hundred ten billion, one hundred twenty-two million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 289 663 867 941 1989 2601 2823 3461 3757 8469 10383 11271 12233 15997 31149 33813 36699 44993 47991 58837 110097 134979 143973 176511 207961 271949 404937 529533 623883 764881 815847 1000229 1871649 2294643 2447541 3000687 3256801 3535337 6883929 9002061 9770403 10606011 13002977 29311209 31818033 39008931 42338413 55365617 117026793 127015239 166096851 381045717 498290553 719753021 941215489 2159259063 2823646467 6477777189 8470939401 12235801357 36707404071 110122212213