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112202112 = 27311101263
BaseRepresentation
bin1101011000000…
…01000110000000
321211010110100210
412230001012000
5212210431422
615044514120
72531462601
oct654010600
9254113323
10112202112
1158376120
12316ab940
131a3267a9
1410c89da8
159cb510c
hex6b01180

112202112 has 128 divisors (see below), whose sum is σ = 329598720. Its totient is φ = 33536000.

The previous prime is 112202063. The next prime is 112202137. The reversal of 112202112 is 211202211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426493 + ... + 426755.

It is an arithmetic number, because the mean of its divisors is an integer number (2574990).

Almost surely, 2112202112 is an apocalyptic number.

112202112 is a gapful number since it is divisible by the number (12) 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 112202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799360).

112202112 is an abundant number, since it is smaller than the sum of its proper divisors (217396608).

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

112202112 is a wasteful number, since it uses less digits than its factorization.

112202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112202112 is about 10592.5498346715. The cubic root of 112202112 is about 482.3182301882.

Adding to 112202112 its reverse (211202211), we get a palindrome (323404323).

Subtracting 112202112 from its reverse (211202211), we obtain a palindrome (99000099).

The spelling of 112202112 in words is "one hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 128 132 176 192 202 263 264 303 352 384 404 526 528 606 704 789 808 1052 1056 1111 1212 1408 1578 1616 2104 2112 2222 2424 2893 3156 3232 3333 4208 4224 4444 4848 5786 6312 6464 6666 8416 8679 8888 9696 11572 12624 12928 13332 16832 17358 17776 19392 23144 25248 26563 26664 33664 34716 35552 38784 46288 50496 53126 53328 69432 71104 79689 92576 100992 106252 106656 138864 142208 159378 185152 212504 213312 277728 292193 318756 370304 425008 426624 555456 584386 637512 850016 876579 1110912 1168772 1275024 1700032 1753158 2337544 2550048 3400064 3506316 4675088 5100096 7012632 9350176 10200192 14025264 18700352 28050528 37400704 56101056 112202112