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110141211114 = 232113120118923
BaseRepresentation
bin110011010010011101…
…1011000000111101010
3101112021221010020121100
41212210323120013222
53301032122223424
6122333112222230
710646254563444
oct1464473300752
9345257106540
10110141211114
114278a92a110
121941a09a976
13a50383c58c
14548bc61494
152ce96dcdc9
hex19a4ed81ea

110141211114 has 96 divisors (see below), whose sum is σ = 268895397888. Its totient is φ = 32279796000.

The previous prime is 110141211097. The next prime is 110141211121. The reversal of 110141211114 is 411112141011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12339057 + ... + 12347979.

It is an arithmetic number, because the mean of its divisors is an integer number (2800993728).

Almost surely, 2110141211114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110141211114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447698944).

110141211114 is an abundant number, since it is smaller than the sum of its proper divisors (158754186774).

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

110141211114 is a wasteful number, since it uses less digits than its factorization.

110141211114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10984 (or 10981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110141211114 its reverse (411112141011), we get a palindrome (521253352125).

The spelling of 110141211114 in words is "one hundred ten billion, one hundred forty-one million, two hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2011 2046 3069 4022 6033 6138 8923 12066 17846 18099 22121 26769 36198 44242 53538 62341 66363 80307 98153 124682 132726 160614 187023 196306 199089 276613 294459 374046 398178 553226 561069 588918 685751 829839 883377 1122138 1371502 1659678 1766754 2057253 2489517 3042743 4114506 4979034 6085486 6171759 9128229 12343518 17944153 18256458 27384687 35888306 53832459 54769374 107664918 161497377 197385683 322994754 394771366 556268743 592157049 1112537486 1184314098 1668806229 1776471147 3337612458 3552942294 5006418687 6118956173 10012837374 12237912346 18356868519 36713737038 55070605557 110141211114