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110122220104 = 231310383912253
BaseRepresentation
bin110011010001111001…
…0111011101001001000
3101112020121101101211121
41212203302323221020
53301012242020404
6122331153205024
710645634266201
oct1464362735110
9345217341747
10110122220104
1142780138966
1219413860774
13a4cc9204b0
14548951a5a8
152ce7bdae54
hex19a3cbba48

110122220104 has 64 divisors (see below), whose sum is σ = 224806982400. Its totient is φ = 50268093696.

The previous prime is 110122220093. The next prime is 110122220107. The reversal of 110122220104 is 401022221011.

It is not an unprimeable number, because it can be changed into a prime (110122220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8981242 + ... + 8993494.

It is an arithmetic number, because the mean of its divisors is an integer number (3512609100).

Almost surely, 2110122220104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110122220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112403491200).

110122220104 is an abundant number, since it is smaller than the sum of its proper divisors (114684762296).

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

110122220104 is a wasteful number, since it uses less digits than its factorization.

110122220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110122220104 its reverse (401022221011), we get a palindrome (511144441115).

The spelling of 110122220104 in words is "one hundred ten billion, one hundred twenty-two million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 103 104 206 412 824 839 1339 1678 2678 3356 5356 6712 10712 10907 12253 21814 24506 43628 49012 86417 87256 98024 159289 172834 318578 345668 637156 691336 1123421 1262059 1274312 2246842 2524118 4493684 5048236 8987368 10096472 10280267 16406767 20560534 32813534 41121068 65627068 82242136 131254136 133643471 267286942 534573884 1058867501 1069147768 2117735002 4235470004 8470940008 13765277513 27530555026 55061110052 110122220104