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110022202212 = 223132199272621
BaseRepresentation
bin110011001110111010…
…1011001001101100100
3101111222122011222002020
41212131311121031210
53300311140432322
6122313221343140
710643311200636
oct1463565311544
9344878158066
10110022202212
1142729734a4a
12193a6267ab0
13a4b4ca1800
14547a122a56
152cde03105c
hex199dd59364

110022202212 has 72 divisors (see below), whose sum is σ = 279383025600. Its totient is φ = 33682746240.

The previous prime is 110022202211. The next prime is 110022202249. The reversal of 110022202212 is 212202220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022202191 and 110022202200.

It is not an unprimeable number, because it can be changed into a prime (110022202211) 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, 267262 + ... + 539882.

It is an arithmetic number, because the mean of its divisors is an integer number (3880319800).

Almost surely, 2110022202212 is an apocalyptic number.

110022202212 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 110022202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139691512800).

110022202212 is an abundant number, since it is smaller than the sum of its proper divisors (169360823388).

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

110022202212 is a wasteful number, since it uses less digits than its factorization.

110022202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272853 (or 272838 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 110022202212 its reverse (212202220011), we get a palindrome (322224422223).

The spelling of 110022202212 in words is "one hundred ten billion, twenty-two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 199 338 398 507 597 676 796 1014 1194 2028 2388 2587 5174 7761 10348 15522 31044 33631 67262 100893 134524 201786 272621 403572 545242 817863 1090484 1635726 3271452 3544073 7088146 10632219 14176292 21264438 42528876 46072949 54251579 92145898 108503158 138218847 162754737 184291796 217006316 276437694 325509474 552875388 651018948 705270527 1410541054 2115811581 2821082108 4231623162 8463246324 9168516851 18337033702 27505550553 36674067404 55011101106 110022202212