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112601132 = 227172291033
BaseRepresentation
bin1101011011000…
…10100000101100
321211212201201022
412231202200230
5212311214012
615101233312
72535044120
oct655424054
9254781638
10112601132
1158618996
1231862838
131a4362b7
1410d51580
159d43472
hex6b6282c

112601132 has 48 divisors (see below), whose sum is σ = 239722560. Its totient is φ = 45176832.

The previous prime is 112601131. The next prime is 112601147. The reversal of 112601132 is 231106211.

It is a super-3 number, since 3×1126011323 (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112601132.

It is not an unprimeable number, because it can be changed into a prime (112601131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108488 + ... + 109520.

It is an arithmetic number, because the mean of its divisors is an integer number (4994220).

Almost surely, 2112601132 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 112601132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119861280).

112601132 is an abundant number, since it is smaller than the sum of its proper divisors (127121428).

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

112601132 is a wasteful number, since it uses less digits than its factorization.

112601132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 112601132 is about 10611.3680550625. The cubic root of 112601132 is about 482.8893036045.

Adding to 112601132 its reverse (231106211), we get a palindrome (343707343).

The spelling of 112601132 in words is "one hundred twelve million, six hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 229 238 458 476 916 1033 1603 2066 3206 3893 4132 6412 7231 7786 14462 15572 17561 27251 28924 35122 54502 70244 109004 122927 236557 245854 473114 491708 946228 1655899 3311798 4021469 6623596 8042938 16085876 28150283 56300566 112601132