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112004253 = 32101123217
BaseRepresentation
bin1101010110100…
…00110010011101
321210202101221200
412223100302131
5212133114003
615040350113
72530010004
oct653206235
9253671850
10112004253
11582504a9
1231615339
131a28770a
1410c37c3b
159c766a3
hex6ad0c9d

112004253 has 12 divisors (see below), whose sum is σ = 163387068. Its totient is φ = 73929600.

The previous prime is 112004239. The next prime is 112004261. The reversal of 112004253 is 352400211.

It can be written as a sum of positive squares in 2 ways, for example, as 110628324 + 1375929 = 10518^2 + 1173^2 .

It is a de Polignac number, because none of the positive numbers 2k-112004253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112003253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60700 + ... + 62517.

It is an arithmetic number, because the mean of its divisors is an integer number (13615589).

Almost surely, 2112004253 is an apocalyptic number.

It is an amenable number.

112004253 is a deficient number, since it is larger than the sum of its proper divisors (51382815).

112004253 is a wasteful number, since it uses less digits than its factorization.

112004253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123324 (or 123321 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112004253 is about 10583.2061777138. The cubic root of 112004253 is about 482.0345541477.

Adding to 112004253 its reverse (352400211), we get a palindrome (464404464).

The spelling of 112004253 in words is "one hundred twelve million, four thousand, two hundred fifty-three".

Divisors: 1 3 9 101 303 909 123217 369651 1108953 12444917 37334751 112004253