Search a number
-
+
110101212 = 223213317589
BaseRepresentation
bin1101001000000…
…00001011011100
321200011201110200
412210000023130
5211141214322
614531503500
72504562534
oct644001334
9250151420
10110101212
1157170741
1230a57b90
1319a6c460
14108a04c4
1599ec8ac
hex69002dc

110101212 has 72 divisors (see below), whose sum is σ = 309429120. Its totient is φ = 32780160.

The previous prime is 110101171. The next prime is 110101217. The reversal of 110101212 is 212101011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110101194 and 110101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10714 + ... + 18302.

Almost surely, 2110101212 is an apocalyptic number.

110101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154714560).

110101212 is an abundant number, since it is smaller than the sum of its proper divisors (199327908).

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

110101212 is a wasteful number, since it uses less digits than its factorization.

110101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 110101212 is about 10492.9124650880. The cubic root of 110101212 is about 479.2888949569.

Adding to 110101212 its reverse (212101011), we get a palindrome (322202223).

The spelling of 110101212 in words is "one hundred ten million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 7589 14508 15178 22767 30356 45534 68301 91068 98657 136602 197314 235259 273204 295971 394628 470518 591942 705777 887913 941036 1183884 1411554 1775826 2117331 2823108 3058367 3551652 4234662 6116734 8469324 9175101 12233468 18350202 27525303 36700404 55050606 110101212