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112300353 = 32114173379
BaseRepresentation
bin1101011000110…
…01000101000001
321211022110010100
412230121011001
5212222102403
615050553013
72532352164
oct654310501
9254273110
10112300353
1158432a10
1231738769
131a35c419
1410cb3adb
159cd42a3
hex6b19141

112300353 has 48 divisors (see below), whose sum is σ = 184242240. Its totient is φ = 65318400.

The previous prime is 112300339. The next prime is 112300369. The reversal of 112300353 is 353003211.

112300353 is a `hidden beast` number, since 1 + 12 + 300 + 353 = 666.

It is not a de Polignac number, because 112300353 - 24 = 112300337 is a prime.

It is a super-2 number, since 2×1123003532 = 25222738567849218, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112300313) 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, 296118 + ... + 296496.

It is an arithmetic number, because the mean of its divisors is an integer number (3838380).

Almost surely, 2112300353 is an apocalyptic number.

It is an amenable number.

112300353 is a deficient number, since it is larger than the sum of its proper divisors (71941887).

112300353 is a wasteful number, since it uses less digits than its factorization.

112300353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 112300353 is about 10597.1860887690. The cubic root of 112300353 is about 482.4589571969.

Adding to 112300353 its reverse (353003211), we get a palindrome (465303564).

The spelling of 112300353 in words is "one hundred twelve million, three hundred thousand, three hundred fifty-three".

Divisors: 1 3 9 11 33 41 73 99 123 219 369 379 451 657 803 1137 1353 2409 2993 3411 4059 4169 7227 8979 12507 15539 26937 27667 32923 37521 46617 83001 98769 139851 170929 249003 296307 304337 512787 913011 1134347 1538361 2739033 3403041 10209123 12477817 37433451 112300353