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112310102142 = 23273794125601
BaseRepresentation
bin110100010011000110…
…1000010100001111110
3101201220002021022202200
41220212031002201332
53320002341232032
6123332231132330
711054102055060
oct1504615024176
9351802238680
10112310102142
11436a3141037
12199245140a6
13a78ac9b254
145615d21730
152dc4d1247c
hex1a2634287e

112310102142 has 96 divisors (see below), whose sum is σ = 285932147904. Its totient is φ = 31186944000.

The previous prime is 112310102111. The next prime is 112310102153. The reversal of 112310102142 is 241201013211.

112310102142 is a `hidden beast` number, since 112 + 310 + 102 + 142 = 666.

It is a super-2 number, since 2×1123101021422 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4374142 + ... + 4399742.

It is an arithmetic number, because the mean of its divisors is an integer number (2978459874).

Almost surely, 2112310102142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112310102142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142966073952).

112310102142 is an abundant number, since it is smaller than the sum of its proper divisors (173622045762).

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

112310102142 is a wasteful number, since it uses less digits than its factorization.

112310102142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26594 (or 26591 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112310102142 its reverse (241201013211), we get a palindrome (353511115353).

The spelling of 112310102142 in words is "one hundred twelve billion, three hundred ten million, one hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 941 1554 1882 2331 2823 4662 5646 6587 8469 13174 16938 19761 25601 34817 39522 51202 59283 69634 76803 104451 118566 153606 179207 208902 230409 243719 313353 358414 460818 487438 537621 626706 731157 947237 1075242 1462314 1612863 1894474 2193471 2841711 3225726 4386942 5683422 6630659 8525133 13261318 17050266 19891977 24090541 39783954 48181082 59675931 72271623 119351862 144543246 168633787 216814869 337267574 433629738 505901361 891350017 1011802722 1517704083 1782700034 2674050051 3035408166 5348100102 6239450119 8022150153 12478900238 16044300306 18718350357 37436700714 56155051071 112310102142