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112200102 = 23273171069
BaseRepresentation
bin1101011000000…
…00100110100110
321211010100121100
412230000212212
5212210400402
615044500530
72531454000
oct654004646
9254110540
10112200102
1158374663
12316aa746
131a3258c1
1410c89370
159cb471c
hex6b009a6

112200102 has 96 divisors (see below), whose sum is σ = 300456000. Its totient is φ = 30143232.

The previous prime is 112200083. The next prime is 112200107. The reversal of 112200102 is 201002211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104424 + ... + 105492.

It is an arithmetic number, because the mean of its divisors is an integer number (3129750).

Almost surely, 2112200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150228000).

112200102 is an abundant number, since it is smaller than the sum of its proper divisors (188255898).

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

112200102 is a wasteful number, since it uses less digits than its factorization.

112200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112200102 is about 10592.4549562413. The cubic root of 112200102 is about 482.3153500717.

Adding to 112200102 its reverse (201002211), we get a palindrome (313202313).

The spelling of 112200102 in words is "one hundred twelve million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 343 357 441 686 714 833 882 1029 1069 1071 1666 2058 2138 2142 2499 3087 3207 4998 5831 6174 6414 7483 7497 9621 11662 14966 14994 17493 18173 19242 22449 34986 36346 44898 52381 52479 54519 67347 104762 104958 109038 127211 134694 157143 163557 254422 314286 327114 366667 381633 471429 733334 763266 890477 942858 1100001 1144899 1780954 2200002 2289798 2671431 3300003 5342862 6233339 6600006 8014293 12466678 16028586 18700017 37400034 56100051 112200102