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111423104 = 2713292309
BaseRepresentation
bin1101010010000…
…10111010000000
321202122212202122
412221002322000
5212011014404
615020103412
72522036462
oct651027200
9252585678
10111423104
1157993911
1231394b68
131a113040
1410b26132
159bae3be
hex6a42e80

111423104 has 64 divisors (see below), whose sum is σ = 247401000. Its totient is φ = 49631232.

The previous prime is 111423089. The next prime is 111423113. The reversal of 111423104 is 401324111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95101504 + 16321600 = 9752^2 + 4040^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47102 + ... + 49410.

Almost surely, 2111423104 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 111423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123700500).

111423104 is an abundant number, since it is smaller than the sum of its proper divisors (135977896).

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

111423104 is a wasteful number, since it uses less digits than its factorization.

111423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 111423104 is about 10555.7142818475. The cubic root of 111423104 is about 481.1994078710.

Adding to 111423104 its reverse (401324111), we get a palindrome (512747215).

The spelling of 111423104 in words is "one hundred eleven million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 754 832 928 1508 1664 1856 2309 3016 3712 4618 6032 9236 12064 18472 24128 30017 36944 48256 60034 66961 73888 120068 133922 147776 240136 267844 295552 480272 535688 870493 960544 1071376 1740986 1921088 2142752 3481972 3842176 4285504 6963944 8571008 13927888 27855776 55711552 111423104