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110142116 = 227172979101
BaseRepresentation
bin1101001000010…
…10001010100100
321200020210120122
412210022022210
5211144021431
614532421112
72505123020
oct644121244
9250223518
10110142116
1157199447
1230a77798
1319a84c66
14108b1380
159a09a7b
hex690a2a4

110142116 has 96 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 41932800.

The previous prime is 110142077. The next prime is 110142119. The reversal of 110142116 is 611241011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 110142094 and 110142103.

It is not an unprimeable number, because it can be changed into a prime (110142119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090466 + ... + 1090566.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2110142116 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 110142116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

110142116 is an abundant number, since it is smaller than the sum of its proper divisors (136616284).

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

110142116 is a wasteful number, since it uses less digits than its factorization.

110142116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 110142116 is about 10494.8614092803. The cubic root of 110142116 is about 479.3482415808.

Adding to 110142116 its reverse (611241011), we get a palindrome (721383127).

The spelling of 110142116 in words is "one hundred ten million, one hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 79 101 116 119 158 202 203 238 316 404 406 476 493 553 707 812 986 1106 1343 1414 1717 1972 2212 2291 2686 2828 2929 3434 3451 4582 5372 5858 6868 6902 7979 9164 9401 11716 12019 13804 15958 16037 18802 20503 24038 31916 32074 37604 38947 41006 48076 49793 55853 64148 77894 82012 99586 111706 135643 155788 199172 223412 231391 271286 272629 348551 462782 542572 545258 697102 925564 949501 1090516 1394204 1619737 1899002 3239474 3798004 3933647 6478948 7867294 15734588 27535529 55071058 110142116