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113035301 = 294498681
BaseRepresentation
bin1101011110011…
…00100000100101
321212200210021122
412233030200211
5212414112201
615114423325
72541532661
oct657144045
9255623248
10113035301
1158895105
1231a31b45
131a558ac2
14110258a1
159dcbe1b
hex6bcc825

113035301 has 8 divisors (see below), whose sum is σ = 117207000. Its totient is φ = 108881920.

The previous prime is 113035297. The next prime is 113035303. The reversal of 113035301 is 103530311.

It can be written as a sum of positive squares in 4 ways, for example, as 40018276 + 73017025 = 6326^2 + 8545^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(113035301) divides (113035301-1)6.

It is a cyclic number.

It is not a de Polignac number, because 113035301 - 22 = 113035297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113035301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113035303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8681 + ... + 17361.

It is an arithmetic number, because the mean of its divisors is an integer number (14650875).

Almost surely, 2113035301 is an apocalyptic number.

113035301 is the 8681-st pentagonal number.

It is an amenable number.

113035301 is a deficient number, since it is larger than the sum of its proper divisors (4171699).

113035301 is an equidigital number, since it uses as much as digits as its factorization.

113035301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 113035301 is about 10631.8061024456. The cubic root of 113035301 is about 483.5091513621.

Adding to 113035301 its reverse (103530311), we get a palindrome (216565612).

The spelling of 113035301 in words is "one hundred thirteen million, thirty-five thousand, three hundred one".

Divisors: 1 29 449 8681 13021 251749 3897769 113035301