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110441340324 = 223371193122453
BaseRepresentation
bin110011011011011010…
…0010001110110100100
3101120001211212101111000
41212312310101312210
53302140440342244
6122422553113300
710656560621640
oct1466664216644
9346054771430
10110441340324
1142924291687
12194a26b8830
13a550a84123
1454b9a69c20
152d15c25169
hex19b6d11da4

110441340324 has 96 divisors (see below), whose sum is σ = 327510570240. Its totient is φ = 31527961344.

The previous prime is 110441340323. The next prime is 110441340341. The reversal of 110441340324 is 423043144011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110441340323) 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 31 ways as a sum of consecutive naturals, for example, 840682 + ... + 963134.

It is an arithmetic number, because the mean of its divisors is an integer number (3411568440).

Almost surely, 2110441340324 is an apocalyptic number.

110441340324 is a gapful number since it is divisible by the number (14) 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 110441340324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163755285120).

110441340324 is an abundant number, since it is smaller than the sum of its proper divisors (217069229916).

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

110441340324 is a wasteful number, since it uses less digits than its factorization.

110441340324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123666 (or 123658 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 110441340324 its reverse (423043144011), we get a palindrome (533484484335).

The spelling of 110441340324 in words is "one hundred ten billion, four hundred forty-one million, three hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1193 2386 3579 4772 7158 8351 10737 14316 16702 21474 25053 32211 33404 42948 50106 64422 75159 100212 122453 128844 150318 225477 244906 300636 367359 450954 489812 734718 857171 901908 1102077 1469436 1714342 2204154 2571513 3306231 3428684 4408308 5143026 6612462 7714539 10286052 13224924 15429078 23143617 30858156 46287234 92574468 146086429 292172858 438259287 584345716 876518574 1022605003 1314777861 1753037148 2045210006 2629555722 3067815009 3944333583 4090420012 5259111444 6135630018 7888667166 9203445027 12271260036 15777334332 18406890054 27610335081 36813780108 55220670162 110441340324